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Finding the Fourth Proportional to 3,052.80, 4,217.76 and 2,819.52

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Solution

The fourth proportional to 3,052.80, 4,217.76 and 2,819.52 is: 3,895.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,052.80 : 4,217.76 = 2,819.52 : x
  2. Step 2: Convert to fraction form
    3,052.80/4,217.76 = 2,819.52/x
  3. Step 3: Cross multiply
    3,052.80x = 4,217.76 × 2,819.52
  4. Step 4: Simplify right side
    3,052.80x = 11,892,058.68
  5. Step 5: Solve for x
    x = 11,892,058.68/3,052.80
  6. Step 6: Final answer
    x = 3,895.46

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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.