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Finding the Fourth Proportional to 3,616.70, 4,991.29 and 2,023.87

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Solution

The fourth proportional to 3,616.70, 4,991.29 and 2,023.87 is: 2,793.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,616.70 : 4,991.29 = 2,023.87 : x
  2. Step 2: Convert to fraction form
    3,616.70/4,991.29 = 2,023.87/x
  3. Step 3: Cross multiply
    3,616.70x = 4,991.29 × 2,023.87
  4. Step 4: Simplify right side
    3,616.70x = 10,101,729.68
  5. Step 5: Solve for x
    x = 10,101,729.68/3,616.70
  6. Step 6: Final answer
    x = 2,793.08

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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.