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Finding the Fourth Proportional to 3,859.83, 5,789.77 and 938.14

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Solution

The fourth proportional to 3,859.83, 5,789.77 and 938.14 is: 1,407.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,859.83 : 5,789.77 = 938.14 : x
  2. Step 2: Convert to fraction form
    3,859.83/5,789.77 = 938.14/x
  3. Step 3: Cross multiply
    3,859.83x = 5,789.77 × 938.14
  4. Step 4: Simplify right side
    3,859.83x = 5,431,598.01
  5. Step 5: Solve for x
    x = 5,431,598.01/3,859.83
  6. Step 6: Final answer
    x = 1,407.21

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Similar ratio
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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.