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Finding the Fourth Proportional to 5,974.34, 8,965.10 and 2,081.48

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Solution

The fourth proportional to 5,974.34, 8,965.10 and 2,081.48 is: 3,123.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,974.34 : 8,965.10 = 2,081.48 : x
  2. Step 2: Convert to fraction form
    5,974.34/8,965.10 = 2,081.48/x
  3. Step 3: Cross multiply
    5,974.34x = 8,965.10 × 2,081.48
  4. Step 4: Simplify right side
    5,974.34x = 18,660,636.73
  5. Step 5: Solve for x
    x = 18,660,636.73/5,974.34
  6. Step 6: Final answer
    x = 3,123.47

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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.