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Finding the Fourth Proportional to 6,007.38, 8,989.14 and 3,658.82

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Solution

The fourth proportional to 6,007.38, 8,989.14 and 3,658.82 is: 5,474.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,007.38 : 8,989.14 = 3,658.82 : x
  2. Step 2: Convert to fraction form
    6,007.38/8,989.14 = 3,658.82/x
  3. Step 3: Cross multiply
    6,007.38x = 8,989.14 × 3,658.82
  4. Step 4: Simplify right side
    6,007.38x = 32,889,645.21
  5. Step 5: Solve for x
    x = 32,889,645.21/6,007.38
  6. Step 6: Final answer
    x = 5,474.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.