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Finding the Fourth Proportional to 2,906.17, 4,354.92 and 2,487.22

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Solution

The fourth proportional to 2,906.17, 4,354.92 and 2,487.22 is: 3,727.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,906.17 : 4,354.92 = 2,487.22 : x
  2. Step 2: Convert to fraction form
    2,906.17/4,354.92 = 2,487.22/x
  3. Step 3: Cross multiply
    2,906.17x = 4,354.92 × 2,487.22
  4. Step 4: Simplify right side
    2,906.17x = 10,831,644.12
  5. Step 5: Solve for x
    x = 10,831,644.12/2,906.17
  6. Step 6: Final answer
    x = 3,727.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.