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Finding the Fourth Proportional to 6,473.13, 8,932.68 and 3,640.47

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Solution

The fourth proportional to 6,473.13, 8,932.68 and 3,640.47 is: 5,023.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,473.13 : 8,932.68 = 3,640.47 : x
  2. Step 2: Convert to fraction form
    6,473.13/8,932.68 = 3,640.47/x
  3. Step 3: Cross multiply
    6,473.13x = 8,932.68 × 3,640.47
  4. Step 4: Simplify right side
    6,473.13x = 32,519,153.56
  5. Step 5: Solve for x
    x = 32,519,153.56/6,473.13
  6. Step 6: Final answer
    x = 5,023.71

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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.