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Finding the Fourth Proportional to 5,982.71, 8,256.32 and 3,257.42

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Solution

The fourth proportional to 5,982.71, 8,256.32 and 3,257.42 is: 4,495.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,982.71 : 8,256.32 = 3,257.42 : x
  2. Step 2: Convert to fraction form
    5,982.71/8,256.32 = 3,257.42/x
  3. Step 3: Cross multiply
    5,982.71x = 8,256.32 × 3,257.42
  4. Step 4: Simplify right side
    5,982.71x = 26,894,288.57
  5. Step 5: Solve for x
    x = 26,894,288.57/5,982.71
  6. Step 6: Final answer
    x = 4,495.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.