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Finding the Fourth Proportional to 6,171.38, 8,507.65 and 4,399.91

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Solution

The fourth proportional to 6,171.38, 8,507.65 and 4,399.91 is: 6,065.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,171.38 : 8,507.65 = 4,399.91 : x
  2. Step 2: Convert to fraction form
    6,171.38/8,507.65 = 4,399.91/x
  3. Step 3: Cross multiply
    6,171.38x = 8,507.65 × 4,399.91
  4. Step 4: Simplify right side
    6,171.38x = 37,432,894.31
  5. Step 5: Solve for x
    x = 37,432,894.31/6,171.38
  6. Step 6: Final answer
    x = 6,065.56

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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.