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Finding the Fourth Proportional to 3,859.98, 5,789.93 and 938.29

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Solution

The fourth proportional to 3,859.98, 5,789.93 and 938.29 is: 1,407.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,859.98 : 5,789.93 = 938.29 : x
  2. Step 2: Convert to fraction form
    3,859.98/5,789.93 = 938.29/x
  3. Step 3: Cross multiply
    3,859.98x = 5,789.93 × 938.29
  4. Step 4: Simplify right side
    3,859.98x = 5,432,630.39
  5. Step 5: Solve for x
    x = 5,432,630.39/3,859.98
  6. Step 6: Final answer
    x = 1,407.42

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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.