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Finding the Fourth Proportional to 3,691.64, 5,528.82 and 2,768.12

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Solution

The fourth proportional to 3,691.64, 5,528.82 and 2,768.12 is: 4,145.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,691.64 : 5,528.82 = 2,768.12 : x
  2. Step 2: Convert to fraction form
    3,691.64/5,528.82 = 2,768.12/x
  3. Step 3: Cross multiply
    3,691.64x = 5,528.82 × 2,768.12
  4. Step 4: Simplify right side
    3,691.64x = 15,304,437.22
  5. Step 5: Solve for x
    x = 15,304,437.22/3,691.64
  6. Step 6: Final answer
    x = 4,145.70

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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.