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Finding the Fourth Proportional to 3,878.35, 5,352.22 and 2,199.69

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Solution

The fourth proportional to 3,878.35, 5,352.22 and 2,199.69 is: 3,035.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,878.35 : 5,352.22 = 2,199.69 : x
  2. Step 2: Convert to fraction form
    3,878.35/5,352.22 = 2,199.69/x
  3. Step 3: Cross multiply
    3,878.35x = 5,352.22 × 2,199.69
  4. Step 4: Simplify right side
    3,878.35x = 11,773,227.56
  5. Step 5: Solve for x
    x = 11,773,227.56/3,878.35
  6. Step 6: Final answer
    x = 3,035.63

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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.