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Finding the Fourth Proportional to 6,431.57, 9,652.82 and 2,538.71

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Solution

The fourth proportional to 6,431.57, 9,652.82 and 2,538.71 is: 3,810.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,431.57 : 9,652.82 = 2,538.71 : x
  2. Step 2: Convert to fraction form
    6,431.57/9,652.82 = 2,538.71/x
  3. Step 3: Cross multiply
    6,431.57x = 9,652.82 × 2,538.71
  4. Step 4: Simplify right side
    6,431.57x = 24,505,649.70
  5. Step 5: Solve for x
    x = 24,505,649.70/6,431.57
  6. Step 6: Final answer
    x = 3,810.22

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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.