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Finding the Fourth Proportional to 4,344.56, 6,517.92 and 1,266.56

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Solution

The fourth proportional to 4,344.56, 6,517.92 and 1,266.56 is: 1,900.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,344.56 : 6,517.92 = 1,266.56 : x
  2. Step 2: Convert to fraction form
    4,344.56/6,517.92 = 1,266.56/x
  3. Step 3: Cross multiply
    4,344.56x = 6,517.92 × 1,266.56
  4. Step 4: Simplify right side
    4,344.56x = 8,255,336.76
  5. Step 5: Solve for x
    x = 8,255,336.76/4,344.56
  6. Step 6: Final answer
    x = 1,900.15

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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.