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Finding the Fourth Proportional to 4,882.57, 7,324.31 and 1,763.36

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Solution

The fourth proportional to 4,882.57, 7,324.31 and 1,763.36 is: 2,645.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,882.57 : 7,324.31 = 1,763.36 : x
  2. Step 2: Convert to fraction form
    4,882.57/7,324.31 = 1,763.36/x
  3. Step 3: Cross multiply
    4,882.57x = 7,324.31 × 1,763.36
  4. Step 4: Simplify right side
    4,882.57x = 12,915,395.28
  5. Step 5: Solve for x
    x = 12,915,395.28/4,882.57
  6. Step 6: Final answer
    x = 2,645.20

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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.