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Finding the Fourth Proportional to 3,499.80, 5,253.66 and 2,202

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Solution

The fourth proportional to 3,499.80, 5,253.66 and 2,202 is: 3,305.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,499.80 : 5,253.66 = 2,202 : x
  2. Step 2: Convert to fraction form
    3,499.80/5,253.66 = 2,202/x
  3. Step 3: Cross multiply
    3,499.80x = 5,253.66 × 2,202
  4. Step 4: Simplify right side
    3,499.80x = 11,568,559.32
  5. Step 5: Solve for x
    x = 11,568,559.32/3,499.80
  6. Step 6: Final answer
    x = 3,305.49

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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.