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Finding the Fourth Proportional to 3,982.22, 5,496.13 and 2,303.34

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Solution

The fourth proportional to 3,982.22, 5,496.13 and 2,303.34 is: 3,178.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,982.22 : 5,496.13 = 2,303.34 : x
  2. Step 2: Convert to fraction form
    3,982.22/5,496.13 = 2,303.34/x
  3. Step 3: Cross multiply
    3,982.22x = 5,496.13 × 2,303.34
  4. Step 4: Simplify right side
    3,982.22x = 12,659,456.07
  5. Step 5: Solve for x
    x = 12,659,456.07/3,982.22
  6. Step 6: Final answer
    x = 3,178.99

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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.