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Finding the Fourth Proportional to 3,817.92, 5,727.06 and 1,187.22

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Solution

The fourth proportional to 3,817.92, 5,727.06 and 1,187.22 is: 1,780.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,817.92 : 5,727.06 = 1,187.22 : x
  2. Step 2: Convert to fraction form
    3,817.92/5,727.06 = 1,187.22/x
  3. Step 3: Cross multiply
    3,817.92x = 5,727.06 × 1,187.22
  4. Step 4: Simplify right side
    3,817.92x = 6,799,280.17
  5. Step 5: Solve for x
    x = 6,799,280.17/3,817.92
  6. Step 6: Final answer
    x = 1,780.89

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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.