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Finding the Fourth Proportional to 6,490.76, 9,732.72 and 2,540.84

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Solution

The fourth proportional to 6,490.76, 9,732.72 and 2,540.84 is: 3,809.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,490.76 : 9,732.72 = 2,540.84 : x
  2. Step 2: Convert to fraction form
    6,490.76/9,732.72 = 2,540.84/x
  3. Step 3: Cross multiply
    6,490.76x = 9,732.72 × 2,540.84
  4. Step 4: Simplify right side
    6,490.76x = 24,729,284.28
  5. Step 5: Solve for x
    x = 24,729,284.28/6,490.76
  6. Step 6: Final answer
    x = 3,809.92

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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.