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Finding the Fourth Proportional to 3,502.43, 4,834.17 and 2,177.13

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Solution

The fourth proportional to 3,502.43, 4,834.17 and 2,177.13 is: 3,004.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,502.43 : 4,834.17 = 2,177.13 : x
  2. Step 2: Convert to fraction form
    3,502.43/4,834.17 = 2,177.13/x
  3. Step 3: Cross multiply
    3,502.43x = 4,834.17 × 2,177.13
  4. Step 4: Simplify right side
    3,502.43x = 10,524,616.53
  5. Step 5: Solve for x
    x = 10,524,616.53/3,502.43
  6. Step 6: Final answer
    x = 3,004.95

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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.