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Finding the Fourth Proportional to 5,488.60, 8,232.90 and 5,171.80

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Solution

The fourth proportional to 5,488.60, 8,232.90 and 5,171.80 is: 7,757.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,488.60 : 8,232.90 = 5,171.80 : x
  2. Step 2: Convert to fraction form
    5,488.60/8,232.90 = 5,171.80/x
  3. Step 3: Cross multiply
    5,488.60x = 8,232.90 × 5,171.80
  4. Step 4: Simplify right side
    5,488.60x = 42,578,912.22
  5. Step 5: Solve for x
    x = 42,578,912.22/5,488.60
  6. Step 6: Final answer
    x = 7,757.70

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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.