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Finding the Fourth Proportional to 5,862.62, 8,090.84 and 3,869.71

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Solution

The fourth proportional to 5,862.62, 8,090.84 and 3,869.71 is: 5,340.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,862.62 : 8,090.84 = 3,869.71 : x
  2. Step 2: Convert to fraction form
    5,862.62/8,090.84 = 3,869.71/x
  3. Step 3: Cross multiply
    5,862.62x = 8,090.84 × 3,869.71
  4. Step 4: Simplify right side
    5,862.62x = 31,309,204.46
  5. Step 5: Solve for x
    x = 31,309,204.46/5,862.62
  6. Step 6: Final answer
    x = 5,340.48

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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.