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Finding the Fourth Proportional to 3,862.09, 5,793.04 and 940.42

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Solution

The fourth proportional to 3,862.09, 5,793.04 and 940.42 is: 1,410.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,862.09 : 5,793.04 = 940.42 : x
  2. Step 2: Convert to fraction form
    3,862.09/5,793.04 = 940.42/x
  3. Step 3: Cross multiply
    3,862.09x = 5,793.04 × 940.42
  4. Step 4: Simplify right side
    3,862.09x = 5,447,890.68
  5. Step 5: Solve for x
    x = 5,447,890.68/3,862.09
  6. Step 6: Final answer
    x = 1,410.61

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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.