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Finding the Fourth Proportional to 4,878.62, 6,735.92 and 3,757.78

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Solution

The fourth proportional to 4,878.62, 6,735.92 and 3,757.78 is: 5,188.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,878.62 : 6,735.92 = 3,757.78 : x
  2. Step 2: Convert to fraction form
    4,878.62/6,735.92 = 3,757.78/x
  3. Step 3: Cross multiply
    4,878.62x = 6,735.92 × 3,757.78
  4. Step 4: Simplify right side
    4,878.62x = 25,312,105.46
  5. Step 5: Solve for x
    x = 25,312,105.46/4,878.62
  6. Step 6: Final answer
    x = 5,188.37

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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.