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Finding the Fourth Proportional to 5,617.72, 7,751.14 and 3,259.44

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Solution

The fourth proportional to 5,617.72, 7,751.14 and 3,259.44 is: 4,497.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,617.72 : 7,751.14 = 3,259.44 : x
  2. Step 2: Convert to fraction form
    5,617.72/7,751.14 = 3,259.44/x
  3. Step 3: Cross multiply
    5,617.72x = 7,751.14 × 3,259.44
  4. Step 4: Simplify right side
    5,617.72x = 25,264,375.76
  5. Step 5: Solve for x
    x = 25,264,375.76/5,617.72
  6. Step 6: Final answer
    x = 4,497.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.