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Finding the Fourth Proportional to 6,205.38, 8,565.30 and 3,687.90

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Solution

The fourth proportional to 6,205.38, 8,565.30 and 3,687.90 is: 5,090.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,205.38 : 8,565.30 = 3,687.90 : x
  2. Step 2: Convert to fraction form
    6,205.38/8,565.30 = 3,687.90/x
  3. Step 3: Cross multiply
    6,205.38x = 8,565.30 × 3,687.90
  4. Step 4: Simplify right side
    6,205.38x = 31,587,969.87
  5. Step 5: Solve for x
    x = 31,587,969.87/6,205.38
  6. Step 6: Final answer
    x = 5,090.42

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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.