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Finding the Fourth Proportional to 3,982.60, 6,003.72 and 3,715

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Solution

The fourth proportional to 3,982.60, 6,003.72 and 3,715 is: 5,600.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,982.60 : 6,003.72 = 3,715 : x
  2. Step 2: Convert to fraction form
    3,982.60/6,003.72 = 3,715/x
  3. Step 3: Cross multiply
    3,982.60x = 6,003.72 × 3,715
  4. Step 4: Simplify right side
    3,982.60x = 22,303,819.80
  5. Step 5: Solve for x
    x = 22,303,819.80/3,982.60
  6. Step 6: Final answer
    x = 5,600.32

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.