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Finding the Fourth Proportional to 3,624.98, 5,006.56 and 2,444

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Solution

The fourth proportional to 3,624.98, 5,006.56 and 2,444 is: 3,375.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,624.98 : 5,006.56 = 2,444 : x
  2. Step 2: Convert to fraction form
    3,624.98/5,006.56 = 2,444/x
  3. Step 3: Cross multiply
    3,624.98x = 5,006.56 × 2,444
  4. Step 4: Simplify right side
    3,624.98x = 12,236,032.64
  5. Step 5: Solve for x
    x = 12,236,032.64/3,624.98
  6. Step 6: Final answer
    x = 3,375.48

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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.