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Finding the Fourth Proportional to 5,138.78, 7,708.14 and 1,243.19

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Solution

The fourth proportional to 5,138.78, 7,708.14 and 1,243.19 is: 1,864.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,138.78 : 7,708.14 = 1,243.19 : x
  2. Step 2: Convert to fraction form
    5,138.78/7,708.14 = 1,243.19/x
  3. Step 3: Cross multiply
    5,138.78x = 7,708.14 × 1,243.19
  4. Step 4: Simplify right side
    5,138.78x = 9,582,701.84
  5. Step 5: Solve for x
    x = 9,582,701.84/5,138.78
  6. Step 6: Final answer
    x = 1,864.78

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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.