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Finding the Fourth Proportional to 3,965.03, 5,471.67 and 2,286.51

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Solution

The fourth proportional to 3,965.03, 5,471.67 and 2,286.51 is: 3,155.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,965.03 : 5,471.67 = 2,286.51 : x
  2. Step 2: Convert to fraction form
    3,965.03/5,471.67 = 2,286.51/x
  3. Step 3: Cross multiply
    3,965.03x = 5,471.67 × 2,286.51
  4. Step 4: Simplify right side
    3,965.03x = 12,511,028.17
  5. Step 5: Solve for x
    x = 12,511,028.17/3,965.03
  6. Step 6: Final answer
    x = 3,155.34

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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.