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Finding the Fourth Proportional to 3,982.32, 5,496.09 and 2,410.41

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Solution

The fourth proportional to 3,982.32, 5,496.09 and 2,410.41 is: 3,326.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,982.32 : 5,496.09 = 2,410.41 : x
  2. Step 2: Convert to fraction form
    3,982.32/5,496.09 = 2,410.41/x
  3. Step 3: Cross multiply
    3,982.32x = 5,496.09 × 2,410.41
  4. Step 4: Simplify right side
    3,982.32x = 13,247,830.30
  5. Step 5: Solve for x
    x = 13,247,830.30/3,982.32
  6. Step 6: Final answer
    x = 3,326.66

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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.