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Finding the Fourth Proportional to 4,892.24, 7,340.40 and 3,044.90

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Solution

The fourth proportional to 4,892.24, 7,340.40 and 3,044.90 is: 4,568.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,892.24 : 7,340.40 = 3,044.90 : x
  2. Step 2: Convert to fraction form
    4,892.24/7,340.40 = 3,044.90/x
  3. Step 3: Cross multiply
    4,892.24x = 7,340.40 × 3,044.90
  4. Step 4: Simplify right side
    4,892.24x = 22,350,747.26
  5. Step 5: Solve for x
    x = 22,350,747.26/4,892.24
  6. Step 6: Final answer
    x = 4,568.62

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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.