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Finding the Fourth Proportional to 3,768.80, 5,646.83 and 2,304.88

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Solution

The fourth proportional to 3,768.80, 5,646.83 and 2,304.88 is: 3,453.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,768.80 : 5,646.83 = 2,304.88 : x
  2. Step 2: Convert to fraction form
    3,768.80/5,646.83 = 2,304.88/x
  3. Step 3: Cross multiply
    3,768.80x = 5,646.83 × 2,304.88
  4. Step 4: Simplify right side
    3,768.80x = 13,015,265.53
  5. Step 5: Solve for x
    x = 13,015,265.53/3,768.80
  6. Step 6: Final answer
    x = 3,453.42

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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.