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Finding the Fourth Proportional to 5,868.38, 8,098.37 and 3,215.88

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Solution

The fourth proportional to 5,868.38, 8,098.37 and 3,215.88 is: 4,437.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,868.38 : 8,098.37 = 3,215.88 : x
  2. Step 2: Convert to fraction form
    5,868.38/8,098.37 = 3,215.88/x
  3. Step 3: Cross multiply
    5,868.38x = 8,098.37 × 3,215.88
  4. Step 4: Simplify right side
    5,868.38x = 26,043,370.04
  5. Step 5: Solve for x
    x = 26,043,370.04/5,868.38
  6. Step 6: Final answer
    x = 4,437.92

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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.