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Finding the Fourth Proportional to 3,450.92, 4,762.52 and 2,614.16

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Solution

The fourth proportional to 3,450.92, 4,762.52 and 2,614.16 is: 3,607.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,450.92 : 4,762.52 = 2,614.16 : x
  2. Step 2: Convert to fraction form
    3,450.92/4,762.52 = 2,614.16/x
  3. Step 3: Cross multiply
    3,450.92x = 4,762.52 × 2,614.16
  4. Step 4: Simplify right side
    3,450.92x = 12,449,989.28
  5. Step 5: Solve for x
    x = 12,449,989.28/3,450.92
  6. Step 6: Final answer
    x = 3,607.73

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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.