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Finding the Fourth Proportional to 5,180.52, 7,760.07 and 2,540.10

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Solution

The fourth proportional to 5,180.52, 7,760.07 and 2,540.10 is: 3,804.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,180.52 : 7,760.07 = 2,540.10 : x
  2. Step 2: Convert to fraction form
    5,180.52/7,760.07 = 2,540.10/x
  3. Step 3: Cross multiply
    5,180.52x = 7,760.07 × 2,540.10
  4. Step 4: Simplify right side
    5,180.52x = 19,711,353.81
  5. Step 5: Solve for x
    x = 19,711,353.81/5,180.52
  6. Step 6: Final answer
    x = 3,804.90

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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.