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Finding the Fourth Proportional to 3,944.32, 5,443.44 and 2,266

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Solution

The fourth proportional to 3,944.32, 5,443.44 and 2,266 is: 3,127.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,944.32 : 5,443.44 = 2,266 : x
  2. Step 2: Convert to fraction form
    3,944.32/5,443.44 = 2,266/x
  3. Step 3: Cross multiply
    3,944.32x = 5,443.44 × 2,266
  4. Step 4: Simplify right side
    3,944.32x = 12,334,835.04
  5. Step 5: Solve for x
    x = 12,334,835.04/3,944.32
  6. Step 6: Final answer
    x = 3,127.24

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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.