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Finding the Fourth Proportional to 3,697.92, 5,101.41 and 2,204.94

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Solution

The fourth proportional to 3,697.92, 5,101.41 and 2,204.94 is: 3,041.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,697.92 : 5,101.41 = 2,204.94 : x
  2. Step 2: Convert to fraction form
    3,697.92/5,101.41 = 2,204.94/x
  3. Step 3: Cross multiply
    3,697.92x = 5,101.41 × 2,204.94
  4. Step 4: Simplify right side
    3,697.92x = 11,248,302.97
  5. Step 5: Solve for x
    x = 11,248,302.97/3,697.92
  6. Step 6: Final answer
    x = 3,041.79

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1.5x scale

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.