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Finding the Fourth Proportional to 3,727.59, 5,590.65 and 1,129.92

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Solution

The fourth proportional to 3,727.59, 5,590.65 and 1,129.92 is: 1,694.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,727.59 : 5,590.65 = 1,129.92 : x
  2. Step 2: Convert to fraction form
    3,727.59/5,590.65 = 1,129.92/x
  3. Step 3: Cross multiply
    3,727.59x = 5,590.65 × 1,129.92
  4. Step 4: Simplify right side
    3,727.59x = 6,316,987.25
  5. Step 5: Solve for x
    x = 6,316,987.25/3,727.59
  6. Step 6: Final answer
    x = 1,694.66

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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.