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Finding the Fourth Proportional to 5,890.76, 8,129.70 and 3,407.24

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Solution

The fourth proportional to 5,890.76, 8,129.70 and 3,407.24 is: 4,702.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,890.76 : 8,129.70 = 3,407.24 : x
  2. Step 2: Convert to fraction form
    5,890.76/8,129.70 = 3,407.24/x
  3. Step 3: Cross multiply
    5,890.76x = 8,129.70 × 3,407.24
  4. Step 4: Simplify right side
    5,890.76x = 27,699,839.03
  5. Step 5: Solve for x
    x = 27,699,839.03/5,890.76
  6. Step 6: Final answer
    x = 4,702.25

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.