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Finding the Fourth Proportional to 5,343.92, 8,031 and 3,153.68

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Solution

The fourth proportional to 5,343.92, 8,031 and 3,153.68 is: 4,739.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,343.92 : 8,031 = 3,153.68 : x
  2. Step 2: Convert to fraction form
    5,343.92/8,031 = 3,153.68/x
  3. Step 3: Cross multiply
    5,343.92x = 8,031 × 3,153.68
  4. Step 4: Simplify right side
    5,343.92x = 25,327,204.08
  5. Step 5: Solve for x
    x = 25,327,204.08/5,343.92
  6. Step 6: Final answer
    x = 4,739.44

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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.