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Finding the Fourth Proportional to 3,757.80, 5,175.78 and 3,258.60

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Solution

The fourth proportional to 3,757.80, 5,175.78 and 3,258.60 is: 4,488.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,757.80 : 5,175.78 = 3,258.60 : x
  2. Step 2: Convert to fraction form
    3,757.80/5,175.78 = 3,258.60/x
  3. Step 3: Cross multiply
    3,757.80x = 5,175.78 × 3,258.60
  4. Step 4: Simplify right side
    3,757.80x = 16,865,796.71
  5. Step 5: Solve for x
    x = 16,865,796.71/3,757.80
  6. Step 6: Final answer
    x = 4,488.21

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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.