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Finding the Fourth Proportional to 3,752.20, 5,178.02 and 2,096.20

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Solution

The fourth proportional to 3,752.20, 5,178.02 and 2,096.20 is: 2,892.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,752.20 : 5,178.02 = 2,096.20 : x
  2. Step 2: Convert to fraction form
    3,752.20/5,178.02 = 2,096.20/x
  3. Step 3: Cross multiply
    3,752.20x = 5,178.02 × 2,096.20
  4. Step 4: Simplify right side
    3,752.20x = 10,854,129.15
  5. Step 5: Solve for x
    x = 10,854,129.15/3,752.20
  6. Step 6: Final answer
    x = 2,892.74

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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.