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Finding the Fourth Proportional to 4,106.71, 5,667.24 and 2,243.71

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Solution

The fourth proportional to 4,106.71, 5,667.24 and 2,243.71 is: 3,096.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,106.71 : 5,667.24 = 2,243.71 : x
  2. Step 2: Convert to fraction form
    4,106.71/5,667.24 = 2,243.71/x
  3. Step 3: Cross multiply
    4,106.71x = 5,667.24 × 2,243.71
  4. Step 4: Simplify right side
    4,106.71x = 12,715,643.06
  5. Step 5: Solve for x
    x = 12,715,643.06/4,106.71
  6. Step 6: Final answer
    x = 3,096.31

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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.