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Finding the Fourth Proportional to 3,982.06, 5,494.35 and 2,410.12

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Solution

The fourth proportional to 3,982.06, 5,494.35 and 2,410.12 is: 3,325.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,982.06 : 5,494.35 = 2,410.12 : x
  2. Step 2: Convert to fraction form
    3,982.06/5,494.35 = 2,410.12/x
  3. Step 3: Cross multiply
    3,982.06x = 5,494.35 × 2,410.12
  4. Step 4: Simplify right side
    3,982.06x = 13,242,042.82
  5. Step 5: Solve for x
    x = 13,242,042.82/3,982.06
  6. Step 6: Final answer
    x = 3,325.43

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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.