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Finding the Fourth Proportional to 6,458.48, 9,689.09 and 2,562.89

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Solution

The fourth proportional to 6,458.48, 9,689.09 and 2,562.89 is: 3,844.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,458.48 : 9,689.09 = 2,562.89 : x
  2. Step 2: Convert to fraction form
    6,458.48/9,689.09 = 2,562.89/x
  3. Step 3: Cross multiply
    6,458.48x = 9,689.09 × 2,562.89
  4. Step 4: Simplify right side
    6,458.48x = 24,832,086.74
  5. Step 5: Solve for x
    x = 24,832,086.74/6,458.48
  6. Step 6: Final answer
    x = 3,844.88

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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.