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Finding the Fourth Proportional to 3,974.64, 5,962.08 and 1,377.60

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Solution

The fourth proportional to 3,974.64, 5,962.08 and 1,377.60 is: 2,066.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,974.64 : 5,962.08 = 1,377.60 : x
  2. Step 2: Convert to fraction form
    3,974.64/5,962.08 = 1,377.60/x
  3. Step 3: Cross multiply
    3,974.64x = 5,962.08 × 1,377.60
  4. Step 4: Simplify right side
    3,974.64x = 8,213,361.41
  5. Step 5: Solve for x
    x = 8,213,361.41/3,974.64
  6. Step 6: Final answer
    x = 2,066.44

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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.