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Finding the Fourth Proportional to 4,149.28, 5,726.04 and 2,286.28

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Solution

The fourth proportional to 4,149.28, 5,726.04 and 2,286.28 is: 3,155.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,149.28 : 5,726.04 = 2,286.28 : x
  2. Step 2: Convert to fraction form
    4,149.28/5,726.04 = 2,286.28/x
  3. Step 3: Cross multiply
    4,149.28x = 5,726.04 × 2,286.28
  4. Step 4: Simplify right side
    4,149.28x = 13,091,330.73
  5. Step 5: Solve for x
    x = 13,091,330.73/4,149.28
  6. Step 6: Final answer
    x = 3,155.08

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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.