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Finding the Fourth Proportional to 4,344.74, 6,517.11 and 1,057.83

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Solution

The fourth proportional to 4,344.74, 6,517.11 and 1,057.83 is: 1,586.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,344.74 : 6,517.11 = 1,057.83 : x
  2. Step 2: Convert to fraction form
    4,344.74/6,517.11 = 1,057.83/x
  3. Step 3: Cross multiply
    4,344.74x = 6,517.11 × 1,057.83
  4. Step 4: Simplify right side
    4,344.74x = 6,893,994.47
  5. Step 5: Solve for x
    x = 6,893,994.47/4,344.74
  6. Step 6: Final answer
    x = 1,586.75

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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.