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Finding the Fourth Proportional to 3,878.15, 5,350.96 and 2,199.15

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Solution

The fourth proportional to 3,878.15, 5,350.96 and 2,199.15 is: 3,034.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,878.15 : 5,350.96 = 2,199.15 : x
  2. Step 2: Convert to fraction form
    3,878.15/5,350.96 = 2,199.15/x
  3. Step 3: Cross multiply
    3,878.15x = 5,350.96 × 2,199.15
  4. Step 4: Simplify right side
    3,878.15x = 11,767,566.43
  5. Step 5: Solve for x
    x = 11,767,566.43/3,878.15
  6. Step 6: Final answer
    x = 3,034.33

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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.