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Finding the Fourth Proportional to 5,221.46, 7,205.58 and 2,863.58

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Solution

The fourth proportional to 5,221.46, 7,205.58 and 2,863.58 is: 3,951.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,221.46 : 7,205.58 = 2,863.58 : x
  2. Step 2: Convert to fraction form
    5,221.46/7,205.58 = 2,863.58/x
  3. Step 3: Cross multiply
    5,221.46x = 7,205.58 × 2,863.58
  4. Step 4: Simplify right side
    5,221.46x = 20,633,754.78
  5. Step 5: Solve for x
    x = 20,633,754.78/5,221.46
  6. Step 6: Final answer
    x = 3,951.72

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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.