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Finding the Fourth Proportional to 3,512.04, 5,266.92 and 3,282

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Solution

The fourth proportional to 3,512.04, 5,266.92 and 3,282 is: 4,921.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,512.04 : 5,266.92 = 3,282 : x
  2. Step 2: Convert to fraction form
    3,512.04/5,266.92 = 3,282/x
  3. Step 3: Cross multiply
    3,512.04x = 5,266.92 × 3,282
  4. Step 4: Simplify right side
    3,512.04x = 17,286,031.44
  5. Step 5: Solve for x
    x = 17,286,031.44/3,512.04
  6. Step 6: Final answer
    x = 4,921.93

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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.