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Finding the Fourth Proportional to 5,149.90, 7,723.46 and 2,552.14

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Solution

The fourth proportional to 5,149.90, 7,723.46 and 2,552.14 is: 3,827.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,149.90 : 7,723.46 = 2,552.14 : x
  2. Step 2: Convert to fraction form
    5,149.90/7,723.46 = 2,552.14/x
  3. Step 3: Cross multiply
    5,149.90x = 7,723.46 × 2,552.14
  4. Step 4: Simplify right side
    5,149.90x = 19,711,351.20
  5. Step 5: Solve for x
    x = 19,711,351.20/5,149.90
  6. Step 6: Final answer
    x = 3,827.52

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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.