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Finding the Fourth Proportional to 3,957.70, 5,936.86 and 1,325.21

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Solution

The fourth proportional to 3,957.70, 5,936.86 and 1,325.21 is: 1,987.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,957.70 : 5,936.86 = 1,325.21 : x
  2. Step 2: Convert to fraction form
    3,957.70/5,936.86 = 1,325.21/x
  3. Step 3: Cross multiply
    3,957.70x = 5,936.86 × 1,325.21
  4. Step 4: Simplify right side
    3,957.70x = 7,867,594.46
  5. Step 5: Solve for x
    x = 7,867,594.46/3,957.70
  6. Step 6: Final answer
    x = 1,987.92

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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.