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Finding the Fourth Proportional to 6,049.41, 9,024.99 and 5,722.44

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Solution

The fourth proportional to 6,049.41, 9,024.99 and 5,722.44 is: 8,537.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,049.41 : 9,024.99 = 5,722.44 : x
  2. Step 2: Convert to fraction form
    6,049.41/9,024.99 = 5,722.44/x
  3. Step 3: Cross multiply
    6,049.41x = 9,024.99 × 5,722.44
  4. Step 4: Simplify right side
    6,049.41x = 51,644,963.78
  5. Step 5: Solve for x
    x = 51,644,963.78/6,049.41
  6. Step 6: Final answer
    x = 8,537.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.