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Finding the Fourth Proportional to 3,962.68, 5,493.52 and 3,752

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Solution

The fourth proportional to 3,962.68, 5,493.52 and 3,752 is: 5,201.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,962.68 : 5,493.52 = 3,752 : x
  2. Step 2: Convert to fraction form
    3,962.68/5,493.52 = 3,752/x
  3. Step 3: Cross multiply
    3,962.68x = 5,493.52 × 3,752
  4. Step 4: Simplify right side
    3,962.68x = 20,611,687.04
  5. Step 5: Solve for x
    x = 20,611,687.04/3,962.68
  6. Step 6: Final answer
    x = 5,201.45

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.