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Finding the Fourth Proportional to 3,862.85, 5,790.81 and 1,397.09

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Solution

The fourth proportional to 3,862.85, 5,790.81 and 1,397.09 is: 2,094.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,862.85 : 5,790.81 = 1,397.09 : x
  2. Step 2: Convert to fraction form
    3,862.85/5,790.81 = 1,397.09/x
  3. Step 3: Cross multiply
    3,862.85x = 5,790.81 × 1,397.09
  4. Step 4: Simplify right side
    3,862.85x = 8,090,282.74
  5. Step 5: Solve for x
    x = 8,090,282.74/3,862.85
  6. Step 6: Final answer
    x = 2,094.38

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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.