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Finding the Fourth Proportional to 5,324.56, 7,346.64 and 3,729.20

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Solution

The fourth proportional to 5,324.56, 7,346.64 and 3,729.20 is: 5,145.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,324.56 : 7,346.64 = 3,729.20 : x
  2. Step 2: Convert to fraction form
    5,324.56/7,346.64 = 3,729.20/x
  3. Step 3: Cross multiply
    5,324.56x = 7,346.64 × 3,729.20
  4. Step 4: Simplify right side
    5,324.56x = 27,397,089.89
  5. Step 5: Solve for x
    x = 27,397,089.89/5,324.56
  6. Step 6: Final answer
    x = 5,145.42

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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.