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Finding the Fourth Proportional to 5,149.79, 7,724.54 and 1,254.14

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Solution

The fourth proportional to 5,149.79, 7,724.54 and 1,254.14 is: 1,881.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,149.79 : 7,724.54 = 1,254.14 : x
  2. Step 2: Convert to fraction form
    5,149.79/7,724.54 = 1,254.14/x
  3. Step 3: Cross multiply
    5,149.79x = 7,724.54 × 1,254.14
  4. Step 4: Simplify right side
    5,149.79x = 9,687,648.32
  5. Step 5: Solve for x
    x = 9,687,648.32/5,149.79
  6. Step 6: Final answer
    x = 1,881.17

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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.