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Finding the Fourth Proportional to 3,648.72, 5,031.54 and 2,983.44

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Solution

The fourth proportional to 3,648.72, 5,031.54 and 2,983.44 is: 4,114.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,648.72 : 5,031.54 = 2,983.44 : x
  2. Step 2: Convert to fraction form
    3,648.72/5,031.54 = 2,983.44/x
  3. Step 3: Cross multiply
    3,648.72x = 5,031.54 × 2,983.44
  4. Step 4: Simplify right side
    3,648.72x = 15,011,297.70
  5. Step 5: Solve for x
    x = 15,011,297.70/3,648.72
  6. Step 6: Final answer
    x = 4,114.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.