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Finding the Fourth Proportional to 3,998.34, 5,987.79 and 3,071.70

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Solution

The fourth proportional to 3,998.34, 5,987.79 and 3,071.70 is: 4,600.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,998.34 : 5,987.79 = 3,071.70 : x
  2. Step 2: Convert to fraction form
    3,998.34/5,987.79 = 3,071.70/x
  3. Step 3: Cross multiply
    3,998.34x = 5,987.79 × 3,071.70
  4. Step 4: Simplify right side
    3,998.34x = 18,392,694.54
  5. Step 5: Solve for x
    x = 18,392,694.54/3,998.34
  6. Step 6: Final answer
    x = 4,600.08

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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.