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Finding the Fourth Proportional to 3,965.58, 5,472.56 and 2,286.70

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Solution

The fourth proportional to 3,965.58, 5,472.56 and 2,286.70 is: 3,155.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,965.58 : 5,472.56 = 2,286.70 : x
  2. Step 2: Convert to fraction form
    3,965.58/5,472.56 = 2,286.70/x
  3. Step 3: Cross multiply
    3,965.58x = 5,472.56 × 2,286.70
  4. Step 4: Simplify right side
    3,965.58x = 12,514,102.95
  5. Step 5: Solve for x
    x = 12,514,102.95/3,965.58
  6. Step 6: Final answer
    x = 3,155.68

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