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Finding the Fourth Proportional to 4,344.76, 6,517.14 and 1,057.82

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Solution

The fourth proportional to 4,344.76, 6,517.14 and 1,057.82 is: 1,586.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,344.76 : 6,517.14 = 1,057.82 : x
  2. Step 2: Convert to fraction form
    4,344.76/6,517.14 = 1,057.82/x
  3. Step 3: Cross multiply
    4,344.76x = 6,517.14 × 1,057.82
  4. Step 4: Simplify right side
    4,344.76x = 6,893,961.03
  5. Step 5: Solve for x
    x = 6,893,961.03/4,344.76
  6. Step 6: Final answer
    x = 1,586.73

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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.