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Finding the Fourth Proportional to 3,691.50, 5,101.56 and 3,297.84

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Solution

The fourth proportional to 3,691.50, 5,101.56 and 3,297.84 is: 4,557.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,691.50 : 5,101.56 = 3,297.84 : x
  2. Step 2: Convert to fraction form
    3,691.50/5,101.56 = 3,297.84/x
  3. Step 3: Cross multiply
    3,691.50x = 5,101.56 × 3,297.84
  4. Step 4: Simplify right side
    3,691.50x = 16,824,128.63
  5. Step 5: Solve for x
    x = 16,824,128.63/3,691.50
  6. Step 6: Final answer
    x = 4,557.53

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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.