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Finding the Fourth Proportional to 6,229.53, 9,320.80 and 3,458.19

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Solution

The fourth proportional to 6,229.53, 9,320.80 and 3,458.19 is: 5,174.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,229.53 : 9,320.80 = 3,458.19 : x
  2. Step 2: Convert to fraction form
    6,229.53/9,320.80 = 3,458.19/x
  3. Step 3: Cross multiply
    6,229.53x = 9,320.80 × 3,458.19
  4. Step 4: Simplify right side
    6,229.53x = 32,233,120.42
  5. Step 5: Solve for x
    x = 32,233,120.42/6,229.53
  6. Step 6: Final answer
    x = 5,174.24

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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.