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Finding the Fourth Proportional to 3,770.45, 5,654.32 and 1,304.60

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Solution

The fourth proportional to 3,770.45, 5,654.32 and 1,304.60 is: 1,956.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,770.45 : 5,654.32 = 1,304.60 : x
  2. Step 2: Convert to fraction form
    3,770.45/5,654.32 = 1,304.60/x
  3. Step 3: Cross multiply
    3,770.45x = 5,654.32 × 1,304.60
  4. Step 4: Simplify right side
    3,770.45x = 7,376,625.87
  5. Step 5: Solve for x
    x = 7,376,625.87/3,770.45
  6. Step 6: Final answer
    x = 1,956.43

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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.