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Finding the Fourth Proportional to 5,974.64, 8,242.80 and 3,878

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Solution

The fourth proportional to 5,974.64, 8,242.80 and 3,878 is: 5,350.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,974.64 : 8,242.80 = 3,878 : x
  2. Step 2: Convert to fraction form
    5,974.64/8,242.80 = 3,878/x
  3. Step 3: Cross multiply
    5,974.64x = 8,242.80 × 3,878
  4. Step 4: Simplify right side
    5,974.64x = 31,965,578.40
  5. Step 5: Solve for x
    x = 31,965,578.40/5,974.64
  6. Step 6: Final answer
    x = 5,350.21

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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.