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Finding the Fourth Proportional to 5,412.78, 8,119.17 and 1,308.78

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Solution

The fourth proportional to 5,412.78, 8,119.17 and 1,308.78 is: 1,963.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,412.78 : 8,119.17 = 1,308.78 : x
  2. Step 2: Convert to fraction form
    5,412.78/8,119.17 = 1,308.78/x
  3. Step 3: Cross multiply
    5,412.78x = 8,119.17 × 1,308.78
  4. Step 4: Simplify right side
    5,412.78x = 10,626,207.31
  5. Step 5: Solve for x
    x = 10,626,207.31/5,412.78
  6. Step 6: Final answer
    x = 1,963.17

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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.