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Finding the Fourth Proportional to 3,908.77, 5,863.18 and 1,600.27

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Solution

The fourth proportional to 3,908.77, 5,863.18 and 1,600.27 is: 2,400.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,908.77 : 5,863.18 = 1,600.27 : x
  2. Step 2: Convert to fraction form
    3,908.77/5,863.18 = 1,600.27/x
  3. Step 3: Cross multiply
    3,908.77x = 5,863.18 × 1,600.27
  4. Step 4: Simplify right side
    3,908.77x = 9,382,671.06
  5. Step 5: Solve for x
    x = 9,382,671.06/3,908.77
  6. Step 6: Final answer
    x = 2,400.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.