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Finding the Fourth Proportional to 3,664.07, 5,488.78 and 2,202.42

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Solution

The fourth proportional to 3,664.07, 5,488.78 and 2,202.42 is: 3,299.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,664.07 : 5,488.78 = 2,202.42 : x
  2. Step 2: Convert to fraction form
    3,664.07/5,488.78 = 2,202.42/x
  3. Step 3: Cross multiply
    3,664.07x = 5,488.78 × 2,202.42
  4. Step 4: Simplify right side
    3,664.07x = 12,088,598.85
  5. Step 5: Solve for x
    x = 12,088,598.85/3,664.07
  6. Step 6: Final answer
    x = 3,299.23

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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.