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Finding the Fourth Proportional to 3,742.56, 5,166.56 and 2,251.62

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Solution

The fourth proportional to 3,742.56, 5,166.56 and 2,251.62 is: 3,108.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,742.56 : 5,166.56 = 2,251.62 : x
  2. Step 2: Convert to fraction form
    3,742.56/5,166.56 = 2,251.62/x
  3. Step 3: Cross multiply
    3,742.56x = 5,166.56 × 2,251.62
  4. Step 4: Simplify right side
    3,742.56x = 11,633,129.83
  5. Step 5: Solve for x
    x = 11,633,129.83/3,742.56
  6. Step 6: Final answer
    x = 3,108.33

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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.