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Finding the Fourth Proportional to 6,049.65, 8,348.16 and 3,397.11

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Solution

The fourth proportional to 6,049.65, 8,348.16 and 3,397.11 is: 4,687.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,049.65 : 8,348.16 = 3,397.11 : x
  2. Step 2: Convert to fraction form
    6,049.65/8,348.16 = 3,397.11/x
  3. Step 3: Cross multiply
    6,049.65x = 8,348.16 × 3,397.11
  4. Step 4: Simplify right side
    6,049.65x = 28,359,617.82
  5. Step 5: Solve for x
    x = 28,359,617.82/6,049.65
  6. Step 6: Final answer
    x = 4,687.81

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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.