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Finding the Fourth Proportional to 5,862.37, 8,090.50 and 3,869.47

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Solution

The fourth proportional to 5,862.37, 8,090.50 and 3,869.47 is: 5,340.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,862.37 : 8,090.50 = 3,869.47 : x
  2. Step 2: Convert to fraction form
    5,862.37/8,090.50 = 3,869.47/x
  3. Step 3: Cross multiply
    5,862.37x = 8,090.50 × 3,869.47
  4. Step 4: Simplify right side
    5,862.37x = 31,305,906.58
  5. Step 5: Solve for x
    x = 31,305,906.58/5,862.37
  6. Step 6: Final answer
    x = 5,340.15

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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.