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Finding the Fourth Proportional to 3,859.66, 5,789.52 and 937.96

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Solution

The fourth proportional to 3,859.66, 5,789.52 and 937.96 is: 1,406.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,859.66 : 5,789.52 = 937.96 : x
  2. Step 2: Convert to fraction form
    3,859.66/5,789.52 = 937.96/x
  3. Step 3: Cross multiply
    3,859.66x = 5,789.52 × 937.96
  4. Step 4: Simplify right side
    3,859.66x = 5,430,338.18
  5. Step 5: Solve for x
    x = 5,430,338.18/3,859.66
  6. Step 6: Final answer
    x = 1,406.95

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1.5x scale

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.