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Finding the Fourth Proportional to 5,903.96, 8,142.92 and 3,667.16

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Solution

The fourth proportional to 5,903.96, 8,142.92 and 3,667.16 is: 5,057.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,903.96 : 8,142.92 = 3,667.16 : x
  2. Step 2: Convert to fraction form
    5,903.96/8,142.92 = 3,667.16/x
  3. Step 3: Cross multiply
    5,903.96x = 8,142.92 × 3,667.16
  4. Step 4: Simplify right side
    5,903.96x = 29,861,390.51
  5. Step 5: Solve for x
    x = 29,861,390.51/5,903.96
  6. Step 6: Final answer
    x = 5,057.86

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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.