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Finding the Fourth Proportional to 3,859.75, 5,789.62 and 938.05

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Solution

The fourth proportional to 3,859.75, 5,789.62 and 938.05 is: 1,407.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,859.75 : 5,789.62 = 938.05 : x
  2. Step 2: Convert to fraction form
    3,859.75/5,789.62 = 938.05/x
  3. Step 3: Cross multiply
    3,859.75x = 5,789.62 × 938.05
  4. Step 4: Simplify right side
    3,859.75x = 5,430,953.04
  5. Step 5: Solve for x
    x = 5,430,953.04/3,859.75
  6. Step 6: Final answer
    x = 1,407.07

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