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Finding the Fourth Proportional to 3,753.92, 5,632.49 and 2,108.00

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Solution

The fourth proportional to 3,753.92, 5,632.49 and 2,108.00 is: 3,162.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,753.92 : 5,632.49 = 2,108.00 : x
  2. Step 2: Convert to fraction form
    3,753.92/5,632.49 = 2,108.00/x
  3. Step 3: Cross multiply
    3,753.92x = 5,632.49 × 2,108.00
  4. Step 4: Simplify right side
    3,753.92x = 11,873,250.22
  5. Step 5: Solve for x
    x = 11,873,250.22/3,753.92
  6. Step 6: Final answer
    x = 3,162.90

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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.