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Finding the Fourth Proportional to 4,344.96, 6,512.76 and 1,747.20

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Solution

The fourth proportional to 4,344.96, 6,512.76 and 1,747.20 is: 2,618.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,344.96 : 6,512.76 = 1,747.20 : x
  2. Step 2: Convert to fraction form
    4,344.96/6,512.76 = 1,747.20/x
  3. Step 3: Cross multiply
    4,344.96x = 6,512.76 × 1,747.20
  4. Step 4: Simplify right side
    4,344.96x = 11,379,094.27
  5. Step 5: Solve for x
    x = 11,379,094.27/4,344.96
  6. Step 6: Final answer
    x = 2,618.92

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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.