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Finding the Fourth Proportional to 5,502.13, 7,594.05 and 3,734.30

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Solution

The fourth proportional to 5,502.13, 7,594.05 and 3,734.30 is: 5,154.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,502.13 : 7,594.05 = 3,734.30 : x
  2. Step 2: Convert to fraction form
    5,502.13/7,594.05 = 3,734.30/x
  3. Step 3: Cross multiply
    5,502.13x = 7,594.05 × 3,734.30
  4. Step 4: Simplify right side
    5,502.13x = 28,358,493.90
  5. Step 5: Solve for x
    x = 28,358,493.90/5,502.13
  6. Step 6: Final answer
    x = 5,154.10

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