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Finding the Fourth Proportional to 3,502.40, 5,221.84 and 3,411.20

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Solution

The fourth proportional to 3,502.40, 5,221.84 and 3,411.20 is: 5,085.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,502.40 : 5,221.84 = 3,411.20 : x
  2. Step 2: Convert to fraction form
    3,502.40/5,221.84 = 3,411.20/x
  3. Step 3: Cross multiply
    3,502.40x = 5,221.84 × 3,411.20
  4. Step 4: Simplify right side
    3,502.40x = 17,812,740.61
  5. Step 5: Solve for x
    x = 17,812,740.61/3,502.40
  6. Step 6: Final answer
    x = 5,085.87

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.