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Finding the Fourth Proportional to 3,727, 5,591.04 and 1,129.94

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Solution

The fourth proportional to 3,727, 5,591.04 and 1,129.94 is: 1,695.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,727 : 5,591.04 = 1,129.94 : x
  2. Step 2: Convert to fraction form
    3,727/5,591.04 = 1,129.94/x
  3. Step 3: Cross multiply
    3,727x = 5,591.04 × 1,129.94
  4. Step 4: Simplify right side
    3,727x = 6,317,539.74
  5. Step 5: Solve for x
    x = 6,317,539.74/3,727
  6. Step 6: Final answer
    x = 1,695.07

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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.