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Finding the Fourth Proportional to 5,768.83, 7,961.58 and 3,532.19

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Solution

The fourth proportional to 5,768.83, 7,961.58 and 3,532.19 is: 4,874.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,768.83 : 7,961.58 = 3,532.19 : x
  2. Step 2: Convert to fraction form
    5,768.83/7,961.58 = 3,532.19/x
  3. Step 3: Cross multiply
    5,768.83x = 7,961.58 × 3,532.19
  4. Step 4: Simplify right side
    5,768.83x = 28,121,813.26
  5. Step 5: Solve for x
    x = 28,121,813.26/5,768.83
  6. Step 6: Final answer
    x = 4,874.79

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Half scale
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Double scale
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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.