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Finding the Fourth Proportional to 3,107.57, 4,284.23 and 2,221.83

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Solution

The fourth proportional to 3,107.57, 4,284.23 and 2,221.83 is: 3,063.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,107.57 : 4,284.23 = 2,221.83 : x
  2. Step 2: Convert to fraction form
    3,107.57/4,284.23 = 2,221.83/x
  3. Step 3: Cross multiply
    3,107.57x = 4,284.23 × 2,221.83
  4. Step 4: Simplify right side
    3,107.57x = 9,518,819.63
  5. Step 5: Solve for x
    x = 9,518,819.63/3,107.57
  6. Step 6: Final answer
    x = 3,063.11

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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.