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Finding the Fourth Proportional to 3,763.28, 5,645.16 and 2,460.80

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Solution

The fourth proportional to 3,763.28, 5,645.16 and 2,460.80 is: 3,691.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,763.28 : 5,645.16 = 2,460.80 : x
  2. Step 2: Convert to fraction form
    3,763.28/5,645.16 = 2,460.80/x
  3. Step 3: Cross multiply
    3,763.28x = 5,645.16 × 2,460.80
  4. Step 4: Simplify right side
    3,763.28x = 13,891,609.73
  5. Step 5: Solve for x
    x = 13,891,609.73/3,763.28
  6. Step 6: Final answer
    x = 3,691.36

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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.