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Finding the Fourth Proportional to 3,622.98, 5,003.79 and 2,442

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Solution

The fourth proportional to 3,622.98, 5,003.79 and 2,442 is: 3,372.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,622.98 : 5,003.79 = 2,442 : x
  2. Step 2: Convert to fraction form
    3,622.98/5,003.79 = 2,442/x
  3. Step 3: Cross multiply
    3,622.98x = 5,003.79 × 2,442
  4. Step 4: Simplify right side
    3,622.98x = 12,219,255.18
  5. Step 5: Solve for x
    x = 12,219,255.18/3,622.98
  6. Step 6: Final answer
    x = 3,372.71

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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.