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Finding the Fourth Proportional to 5,180.80, 7,760.23 and 4,189.36

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Solution

The fourth proportional to 5,180.80, 7,760.23 and 4,189.36 is: 6,275.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,180.80 : 7,760.23 = 4,189.36 : x
  2. Step 2: Convert to fraction form
    5,180.80/7,760.23 = 4,189.36/x
  3. Step 3: Cross multiply
    5,180.80x = 7,760.23 × 4,189.36
  4. Step 4: Simplify right side
    5,180.80x = 32,510,397.15
  5. Step 5: Solve for x
    x = 32,510,397.15/5,180.80
  6. Step 6: Final answer
    x = 6,275.17

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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.