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Finding the Fourth Proportional to 3,726.59, 5,590.68 and 1,129.73

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Solution

The fourth proportional to 3,726.59, 5,590.68 and 1,129.73 is: 1,694.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,726.59 : 5,590.68 = 1,129.73 : x
  2. Step 2: Convert to fraction form
    3,726.59/5,590.68 = 1,129.73/x
  3. Step 3: Cross multiply
    3,726.59x = 5,590.68 × 1,129.73
  4. Step 4: Simplify right side
    3,726.59x = 6,315,930.96
  5. Step 5: Solve for x
    x = 6,315,930.96/3,726.59
  6. Step 6: Final answer
    x = 1,694.83

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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.