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Finding the Fourth Proportional to 3,219.44, 4,463.66 and 3,111.44

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Solution

The fourth proportional to 3,219.44, 4,463.66 and 3,111.44 is: 4,313.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,219.44 : 4,463.66 = 3,111.44 : x
  2. Step 2: Convert to fraction form
    3,219.44/4,463.66 = 3,111.44/x
  3. Step 3: Cross multiply
    3,219.44x = 4,463.66 × 3,111.44
  4. Step 4: Simplify right side
    3,219.44x = 13,888,410.27
  5. Step 5: Solve for x
    x = 13,888,410.27/3,219.44
  6. Step 6: Final answer
    x = 4,313.92

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.