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Finding the Fourth Proportional to 5,034.24, 6,930 and 4,367.16

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Solution

The fourth proportional to 5,034.24, 6,930 and 4,367.16 is: 6,011.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,034.24 : 6,930 = 4,367.16 : x
  2. Step 2: Convert to fraction form
    5,034.24/6,930 = 4,367.16/x
  3. Step 3: Cross multiply
    5,034.24x = 6,930 × 4,367.16
  4. Step 4: Simplify right side
    5,034.24x = 30,264,418.80
  5. Step 5: Solve for x
    x = 30,264,418.80/5,034.24
  6. Step 6: Final answer
    x = 6,011.72

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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.