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Finding the Fourth Proportional to 5,769.16, 8,667.57 and 3,693.23

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Solution

The fourth proportional to 5,769.16, 8,667.57 and 3,693.23 is: 5,548.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,769.16 : 8,667.57 = 3,693.23 : x
  2. Step 2: Convert to fraction form
    5,769.16/8,667.57 = 3,693.23/x
  3. Step 3: Cross multiply
    5,769.16x = 8,667.57 × 3,693.23
  4. Step 4: Simplify right side
    5,769.16x = 32,011,332.57
  5. Step 5: Solve for x
    x = 32,011,332.57/5,769.16
  6. Step 6: Final answer
    x = 5,548.70

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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.