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Finding the Fourth Proportional to 5,481.76, 7,564.27 and 3,243.20

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Solution

The fourth proportional to 5,481.76, 7,564.27 and 3,243.20 is: 4,475.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,481.76 : 7,564.27 = 3,243.20 : x
  2. Step 2: Convert to fraction form
    5,481.76/7,564.27 = 3,243.20/x
  3. Step 3: Cross multiply
    5,481.76x = 7,564.27 × 3,243.20
  4. Step 4: Simplify right side
    5,481.76x = 24,532,394.53
  5. Step 5: Solve for x
    x = 24,532,394.53/5,481.76
  6. Step 6: Final answer
    x = 4,475.28

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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.