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Finding the Fourth Proportional to 4,753.65, 7,131.42 and 2,414.97

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Solution

The fourth proportional to 4,753.65, 7,131.42 and 2,414.97 is: 3,622.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,753.65 : 7,131.42 = 2,414.97 : x
  2. Step 2: Convert to fraction form
    4,753.65/7,131.42 = 2,414.97/x
  3. Step 3: Cross multiply
    4,753.65x = 7,131.42 × 2,414.97
  4. Step 4: Simplify right side
    4,753.65x = 17,222,165.36
  5. Step 5: Solve for x
    x = 17,222,165.36/4,753.65
  6. Step 6: Final answer
    x = 3,622.94

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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.