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Finding the Fourth Proportional to 4,660.55, 6,426.17 and 3,715.60

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Solution

The fourth proportional to 4,660.55, 6,426.17 and 3,715.60 is: 5,123.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,660.55 : 6,426.17 = 3,715.60 : x
  2. Step 2: Convert to fraction form
    4,660.55/6,426.17 = 3,715.60/x
  3. Step 3: Cross multiply
    4,660.55x = 6,426.17 × 3,715.60
  4. Step 4: Simplify right side
    4,660.55x = 23,877,042.61
  5. Step 5: Solve for x
    x = 23,877,042.61/4,660.55
  6. Step 6: Final answer
    x = 5,123.23

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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.