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Finding the Fourth Proportional to 3,862.69, 5,794.04 and 1,397.46

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Solution

The fourth proportional to 3,862.69, 5,794.04 and 1,397.46 is: 2,096.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,862.69 : 5,794.04 = 1,397.46 : x
  2. Step 2: Convert to fraction form
    3,862.69/5,794.04 = 1,397.46/x
  3. Step 3: Cross multiply
    3,862.69x = 5,794.04 × 1,397.46
  4. Step 4: Simplify right side
    3,862.69x = 8,096,923.91
  5. Step 5: Solve for x
    x = 8,096,923.91/3,862.69
  6. Step 6: Final answer
    x = 2,096.19

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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.