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Finding the Fourth Proportional to 5,351.78, 7,387.31 and 3,678.73

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Solution

The fourth proportional to 5,351.78, 7,387.31 and 3,678.73 is: 5,077.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,351.78 : 7,387.31 = 3,678.73 : x
  2. Step 2: Convert to fraction form
    5,351.78/7,387.31 = 3,678.73/x
  3. Step 3: Cross multiply
    5,351.78x = 7,387.31 × 3,678.73
  4. Step 4: Simplify right side
    5,351.78x = 27,175,909.64
  5. Step 5: Solve for x
    x = 27,175,909.64/5,351.78
  6. Step 6: Final answer
    x = 5,077.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.