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Finding the Fourth Proportional to 3,694.46, 5,099.19 and 2,516

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Solution

The fourth proportional to 3,694.46, 5,099.19 and 2,516 is: 3,472.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,694.46 : 5,099.19 = 2,516 : x
  2. Step 2: Convert to fraction form
    3,694.46/5,099.19 = 2,516/x
  3. Step 3: Cross multiply
    3,694.46x = 5,099.19 × 2,516
  4. Step 4: Simplify right side
    3,694.46x = 12,829,562.04
  5. Step 5: Solve for x
    x = 12,829,562.04/3,694.46
  6. Step 6: Final answer
    x = 3,472.65

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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.