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Finding the Fourth Proportional to 4,377.98, 6,034.47 and 3,049.38

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Solution

The fourth proportional to 4,377.98, 6,034.47 and 3,049.38 is: 4,203.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,377.98 : 6,034.47 = 3,049.38 : x
  2. Step 2: Convert to fraction form
    4,377.98/6,034.47 = 3,049.38/x
  3. Step 3: Cross multiply
    4,377.98x = 6,034.47 × 3,049.38
  4. Step 4: Simplify right side
    4,377.98x = 18,401,392.13
  5. Step 5: Solve for x
    x = 18,401,392.13/4,377.98
  6. Step 6: Final answer
    x = 4,203.17

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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.