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Finding the Fourth Proportional to 5,177.56, 7,770.10 and 3,882.52

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Solution

The fourth proportional to 5,177.56, 7,770.10 and 3,882.52 is: 5,826.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,177.56 : 7,770.10 = 3,882.52 : x
  2. Step 2: Convert to fraction form
    5,177.56/7,770.10 = 3,882.52/x
  3. Step 3: Cross multiply
    5,177.56x = 7,770.10 × 3,882.52
  4. Step 4: Simplify right side
    5,177.56x = 30,167,568.65
  5. Step 5: Solve for x
    x = 30,167,568.65/5,177.56
  6. Step 6: Final answer
    x = 5,826.60

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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.