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Finding the Fourth Proportional to 6,049.82, 8,348.76 and 3,398.08

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Solution

The fourth proportional to 6,049.82, 8,348.76 and 3,398.08 is: 4,689.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,049.82 : 8,348.76 = 3,398.08 : x
  2. Step 2: Convert to fraction form
    6,049.82/8,348.76 = 3,398.08/x
  3. Step 3: Cross multiply
    6,049.82x = 8,348.76 × 3,398.08
  4. Step 4: Simplify right side
    6,049.82x = 28,369,754.38
  5. Step 5: Solve for x
    x = 28,369,754.38/6,049.82
  6. Step 6: Final answer
    x = 4,689.36

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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.