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Finding the Fourth Proportional to 3,727.58, 5,591 and 1,262.36

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Solution

The fourth proportional to 3,727.58, 5,591 and 1,262.36 is: 1,893.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,727.58 : 5,591 = 1,262.36 : x
  2. Step 2: Convert to fraction form
    3,727.58/5,591 = 1,262.36/x
  3. Step 3: Cross multiply
    3,727.58x = 5,591 × 1,262.36
  4. Step 4: Simplify right side
    3,727.58x = 7,057,854.76
  5. Step 5: Solve for x
    x = 7,057,854.76/3,727.58
  6. Step 6: Final answer
    x = 1,893.41

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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.