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Finding the Fourth Proportional to 3,186.72, 4,396.40 and 1,991

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Solution

The fourth proportional to 3,186.72, 4,396.40 and 1,991 is: 2,746.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,186.72 : 4,396.40 = 1,991 : x
  2. Step 2: Convert to fraction form
    3,186.72/4,396.40 = 1,991/x
  3. Step 3: Cross multiply
    3,186.72x = 4,396.40 × 1,991
  4. Step 4: Simplify right side
    3,186.72x = 8,753,232.40
  5. Step 5: Solve for x
    x = 8,753,232.40/3,186.72
  6. Step 6: Final answer
    x = 2,746.78

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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.