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Finding the Fourth Proportional to 3,768.34, 5,654.05 and 1,304.89

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Solution

The fourth proportional to 3,768.34, 5,654.05 and 1,304.89 is: 1,957.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,768.34 : 5,654.05 = 1,304.89 : x
  2. Step 2: Convert to fraction form
    3,768.34/5,654.05 = 1,304.89/x
  3. Step 3: Cross multiply
    3,768.34x = 5,654.05 × 1,304.89
  4. Step 4: Simplify right side
    3,768.34x = 7,377,913.30
  5. Step 5: Solve for x
    x = 7,377,913.30/3,768.34
  6. Step 6: Final answer
    x = 1,957.87

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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.