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Finding the Fourth Proportional to 5,868.99, 8,098.97 and 3,216.38

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Solution

The fourth proportional to 5,868.99, 8,098.97 and 3,216.38 is: 4,438.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,868.99 : 8,098.97 = 3,216.38 : x
  2. Step 2: Convert to fraction form
    5,868.99/8,098.97 = 3,216.38/x
  3. Step 3: Cross multiply
    5,868.99x = 8,098.97 × 3,216.38
  4. Step 4: Simplify right side
    5,868.99x = 26,049,308.55
  5. Step 5: Solve for x
    x = 26,049,308.55/5,868.99
  6. Step 6: Final answer
    x = 4,438.47

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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.