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Finding the Fourth Proportional to 4,149.69, 5,726.56 and 2,286.69

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Solution

The fourth proportional to 4,149.69, 5,726.56 and 2,286.69 is: 3,155.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,149.69 : 5,726.56 = 2,286.69 : x
  2. Step 2: Convert to fraction form
    4,149.69/5,726.56 = 2,286.69/x
  3. Step 3: Cross multiply
    4,149.69x = 5,726.56 × 2,286.69
  4. Step 4: Simplify right side
    4,149.69x = 13,094,838.85
  5. Step 5: Solve for x
    x = 13,094,838.85/4,149.69
  6. Step 6: Final answer
    x = 3,155.62

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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.