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Finding the Fourth Proportional to 3,647.52, 5,472.54 and 2,001.96

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Solution

The fourth proportional to 3,647.52, 5,472.54 and 2,001.96 is: 3,003.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,647.52 : 5,472.54 = 2,001.96 : x
  2. Step 2: Convert to fraction form
    3,647.52/5,472.54 = 2,001.96/x
  3. Step 3: Cross multiply
    3,647.52x = 5,472.54 × 2,001.96
  4. Step 4: Simplify right side
    3,647.52x = 10,955,806.18
  5. Step 5: Solve for x
    x = 10,955,806.18/3,647.52
  6. Step 6: Final answer
    x = 3,003.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.