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Finding the Fourth Proportional to 3,634.80, 5,452.21 and 1,002.34

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Solution

The fourth proportional to 3,634.80, 5,452.21 and 1,002.34 is: 1,503.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,634.80 : 5,452.21 = 1,002.34 : x
  2. Step 2: Convert to fraction form
    3,634.80/5,452.21 = 1,002.34/x
  3. Step 3: Cross multiply
    3,634.80x = 5,452.21 × 1,002.34
  4. Step 4: Simplify right side
    3,634.80x = 5,464,949.53
  5. Step 5: Solve for x
    x = 5,464,949.53/3,634.80
  6. Step 6: Final answer
    x = 1,503.51

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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.