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Finding the Fourth Proportional to 6,309.38, 8,707.24 and 3,514.88

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Solution

The fourth proportional to 6,309.38, 8,707.24 and 3,514.88 is: 4,850.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,309.38 : 8,707.24 = 3,514.88 : x
  2. Step 2: Convert to fraction form
    6,309.38/8,707.24 = 3,514.88/x
  3. Step 3: Cross multiply
    6,309.38x = 8,707.24 × 3,514.88
  4. Step 4: Simplify right side
    6,309.38x = 30,604,851.41
  5. Step 5: Solve for x
    x = 30,604,851.41/6,309.38
  6. Step 6: Final answer
    x = 4,850.69

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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.