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Finding the Fourth Proportional to 3,467.52, 5,202.08 and 1,002.24

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Solution

The fourth proportional to 3,467.52, 5,202.08 and 1,002.24 is: 1,503.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,467.52 : 5,202.08 = 1,002.24 : x
  2. Step 2: Convert to fraction form
    3,467.52/5,202.08 = 1,002.24/x
  3. Step 3: Cross multiply
    3,467.52x = 5,202.08 × 1,002.24
  4. Step 4: Simplify right side
    3,467.52x = 5,213,732.66
  5. Step 5: Solve for x
    x = 5,213,732.66/3,467.52
  6. Step 6: Final answer
    x = 1,503.59

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1.5x scale

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.