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Finding the Fourth Proportional to 3,939.42, 5,908.47 and 1,440.09

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Solution

The fourth proportional to 3,939.42, 5,908.47 and 1,440.09 is: 2,159.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,939.42 : 5,908.47 = 1,440.09 : x
  2. Step 2: Convert to fraction form
    3,939.42/5,908.47 = 1,440.09/x
  3. Step 3: Cross multiply
    3,939.42x = 5,908.47 × 1,440.09
  4. Step 4: Simplify right side
    3,939.42x = 8,508,728.56
  5. Step 5: Solve for x
    x = 8,508,728.56/3,939.42
  6. Step 6: Final answer
    x = 2,159.89

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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.