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Finding the Fourth Proportional to 3,862.49, 5,793.93 and 1,089.18

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Solution

The fourth proportional to 3,862.49, 5,793.93 and 1,089.18 is: 1,633.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,862.49 : 5,793.93 = 1,089.18 : x
  2. Step 2: Convert to fraction form
    3,862.49/5,793.93 = 1,089.18/x
  3. Step 3: Cross multiply
    3,862.49x = 5,793.93 × 1,089.18
  4. Step 4: Simplify right side
    3,862.49x = 6,310,632.68
  5. Step 5: Solve for x
    x = 6,310,632.68/3,862.49
  6. Step 6: Final answer
    x = 1,633.83

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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.