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Finding the Fourth Proportional to 3,939.32, 5,908.32 and 1,165.96

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Solution

The fourth proportional to 3,939.32, 5,908.32 and 1,165.96 is: 1,748.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,939.32 : 5,908.32 = 1,165.96 : x
  2. Step 2: Convert to fraction form
    3,939.32/5,908.32 = 1,165.96/x
  3. Step 3: Cross multiply
    3,939.32x = 5,908.32 × 1,165.96
  4. Step 4: Simplify right side
    3,939.32x = 6,888,864.79
  5. Step 5: Solve for x
    x = 6,888,864.79/3,939.32
  6. Step 6: Final answer
    x = 1,748.74

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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.