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Finding the Fourth Proportional to 3,908.58, 5,857.34 and 1,440.92

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Solution

The fourth proportional to 3,908.58, 5,857.34 and 1,440.92 is: 2,159.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,908.58 : 5,857.34 = 1,440.92 : x
  2. Step 2: Convert to fraction form
    3,908.58/5,857.34 = 1,440.92/x
  3. Step 3: Cross multiply
    3,908.58x = 5,857.34 × 1,440.92
  4. Step 4: Simplify right side
    3,908.58x = 8,439,921.86
  5. Step 5: Solve for x
    x = 8,439,921.86/3,908.58
  6. Step 6: Final answer
    x = 2,159.33

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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.