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Finding the Fourth Proportional to 3,778.56, 5,212.62 and 2,380.50

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Solution

The fourth proportional to 3,778.56, 5,212.62 and 2,380.50 is: 3,283.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,778.56 : 5,212.62 = 2,380.50 : x
  2. Step 2: Convert to fraction form
    3,778.56/5,212.62 = 2,380.50/x
  3. Step 3: Cross multiply
    3,778.56x = 5,212.62 × 2,380.50
  4. Step 4: Simplify right side
    3,778.56x = 12,408,641.91
  5. Step 5: Solve for x
    x = 12,408,641.91/3,778.56
  6. Step 6: Final answer
    x = 3,283.96

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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.