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Finding the Fourth Proportional to 3,877.16, 5,816.61 and 1,378.22

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Solution

The fourth proportional to 3,877.16, 5,816.61 and 1,378.22 is: 2,067.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,877.16 : 5,816.61 = 1,378.22 : x
  2. Step 2: Convert to fraction form
    3,877.16/5,816.61 = 1,378.22/x
  3. Step 3: Cross multiply
    3,877.16x = 5,816.61 × 1,378.22
  4. Step 4: Simplify right side
    3,877.16x = 8,016,539.15
  5. Step 5: Solve for x
    x = 8,016,539.15/3,877.16
  6. Step 6: Final answer
    x = 2,067.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.