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Finding the Fourth Proportional to 4,151.52, 5,728.52 and 2,288.56

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Solution

The fourth proportional to 4,151.52, 5,728.52 and 2,288.56 is: 3,157.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,151.52 : 5,728.52 = 2,288.56 : x
  2. Step 2: Convert to fraction form
    4,151.52/5,728.52 = 2,288.56/x
  3. Step 3: Cross multiply
    4,151.52x = 5,728.52 × 2,288.56
  4. Step 4: Simplify right side
    4,151.52x = 13,110,061.73
  5. Step 5: Solve for x
    x = 13,110,061.73/4,151.52
  6. Step 6: Final answer
    x = 3,157.89

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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.