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Finding the Fourth Proportional to 5,862.87, 8,091.19 and 3,869.97

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Solution

The fourth proportional to 5,862.87, 8,091.19 and 3,869.97 is: 5,340.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,862.87 : 8,091.19 = 3,869.97 : x
  2. Step 2: Convert to fraction form
    5,862.87/8,091.19 = 3,869.97/x
  3. Step 3: Cross multiply
    5,862.87x = 8,091.19 × 3,869.97
  4. Step 4: Simplify right side
    5,862.87x = 31,312,662.56
  5. Step 5: Solve for x
    x = 31,312,662.56/5,862.87
  6. Step 6: Final answer
    x = 5,340.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.