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Finding the Fourth Proportional to 6,585.38, 9,087.97 and 3,932.30

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Solution

The fourth proportional to 6,585.38, 9,087.97 and 3,932.30 is: 5,426.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,585.38 : 9,087.97 = 3,932.30 : x
  2. Step 2: Convert to fraction form
    6,585.38/9,087.97 = 3,932.30/x
  3. Step 3: Cross multiply
    6,585.38x = 9,087.97 × 3,932.30
  4. Step 4: Simplify right side
    6,585.38x = 35,736,578.99
  5. Step 5: Solve for x
    x = 35,736,578.99/6,585.38
  6. Step 6: Final answer
    x = 5,426.65

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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.