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Finding the Fourth Proportional to 5,667.38, 8,502.76 and 2,288.43

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Solution

The fourth proportional to 5,667.38, 8,502.76 and 2,288.43 is: 3,433.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,667.38 : 8,502.76 = 2,288.43 : x
  2. Step 2: Convert to fraction form
    5,667.38/8,502.76 = 2,288.43/x
  3. Step 3: Cross multiply
    5,667.38x = 8,502.76 × 2,288.43
  4. Step 4: Simplify right side
    5,667.38x = 19,457,937.14
  5. Step 5: Solve for x
    x = 19,457,937.14/5,667.38
  6. Step 6: Final answer
    x = 3,433.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.