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Finding the Fourth Proportional to 5,257.10, 7,842.57 and 5,114.09

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Solution

The fourth proportional to 5,257.10, 7,842.57 and 5,114.09 is: 7,629.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,257.10 : 7,842.57 = 5,114.09 : x
  2. Step 2: Convert to fraction form
    5,257.10/7,842.57 = 5,114.09/x
  3. Step 3: Cross multiply
    5,257.10x = 7,842.57 × 5,114.09
  4. Step 4: Simplify right side
    5,257.10x = 40,107,593.89
  5. Step 5: Solve for x
    x = 40,107,593.89/5,257.10
  6. Step 6: Final answer
    x = 7,629.22

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.