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Finding the Fourth Proportional to 3,904.27, 5,850.87 and 1,957.84

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Solution

The fourth proportional to 3,904.27, 5,850.87 and 1,957.84 is: 2,933.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,904.27 : 5,850.87 = 1,957.84 : x
  2. Step 2: Convert to fraction form
    3,904.27/5,850.87 = 1,957.84/x
  3. Step 3: Cross multiply
    3,904.27x = 5,850.87 × 1,957.84
  4. Step 4: Simplify right side
    3,904.27x = 11,455,067.32
  5. Step 5: Solve for x
    x = 11,455,067.32/3,904.27
  6. Step 6: Final answer
    x = 2,933.98

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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.