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Finding the Fourth Proportional to 3,777.76, 5,212.92 and 2,205.55

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Solution

The fourth proportional to 3,777.76, 5,212.92 and 2,205.55 is: 3,043.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,777.76 : 5,212.92 = 2,205.55 : x
  2. Step 2: Convert to fraction form
    3,777.76/5,212.92 = 2,205.55/x
  3. Step 3: Cross multiply
    3,777.76x = 5,212.92 × 2,205.55
  4. Step 4: Simplify right side
    3,777.76x = 11,497,355.71
  5. Step 5: Solve for x
    x = 11,497,355.71/3,777.76
  6. Step 6: Final answer
    x = 3,043.43

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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.