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Finding the Fourth Proportional to 3,727.47, 5,591.97 and 1,262.22

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Solution

The fourth proportional to 3,727.47, 5,591.97 and 1,262.22 is: 1,893.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,727.47 : 5,591.97 = 1,262.22 : x
  2. Step 2: Convert to fraction form
    3,727.47/5,591.97 = 1,262.22/x
  3. Step 3: Cross multiply
    3,727.47x = 5,591.97 × 1,262.22
  4. Step 4: Simplify right side
    3,727.47x = 7,058,318.02
  5. Step 5: Solve for x
    x = 7,058,318.02/3,727.47
  6. Step 6: Final answer
    x = 1,893.60

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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.