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Finding the Fourth Proportional to 3,937.69, 5,906.08 and 1,304.56

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Solution

The fourth proportional to 3,937.69, 5,906.08 and 1,304.56 is: 1,956.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,937.69 : 5,906.08 = 1,304.56 : x
  2. Step 2: Convert to fraction form
    3,937.69/5,906.08 = 1,304.56/x
  3. Step 3: Cross multiply
    3,937.69x = 5,906.08 × 1,304.56
  4. Step 4: Simplify right side
    3,937.69x = 7,704,835.72
  5. Step 5: Solve for x
    x = 7,704,835.72/3,937.69
  6. Step 6: Final answer
    x = 1,956.69

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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.