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Finding the Fourth Proportional to 5,876.96, 8,109.93 and 3,224.30

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Solution

The fourth proportional to 5,876.96, 8,109.93 and 3,224.30 is: 4,449.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,876.96 : 8,109.93 = 3,224.30 : x
  2. Step 2: Convert to fraction form
    5,876.96/8,109.93 = 3,224.30/x
  3. Step 3: Cross multiply
    5,876.96x = 8,109.93 × 3,224.30
  4. Step 4: Simplify right side
    5,876.96x = 26,148,867.57
  5. Step 5: Solve for x
    x = 26,148,867.57/5,876.96
  6. Step 6: Final answer
    x = 4,449.39

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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.