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Finding the Fourth Proportional to 5,728.62, 7,908.12 and 4,168.56

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Solution

The fourth proportional to 5,728.62, 7,908.12 and 4,168.56 is: 5,754.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,728.62 : 7,908.12 = 4,168.56 : x
  2. Step 2: Convert to fraction form
    5,728.62/7,908.12 = 4,168.56/x
  3. Step 3: Cross multiply
    5,728.62x = 7,908.12 × 4,168.56
  4. Step 4: Simplify right side
    5,728.62x = 32,965,472.71
  5. Step 5: Solve for x
    x = 32,965,472.71/5,728.62
  6. Step 6: Final answer
    x = 5,754.52

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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.