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Finding the Fourth Proportional to 3,778.62, 5,667 and 1,586.76

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Solution

The fourth proportional to 3,778.62, 5,667 and 1,586.76 is: 2,379.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,778.62 : 5,667 = 1,586.76 : x
  2. Step 2: Convert to fraction form
    3,778.62/5,667 = 1,586.76/x
  3. Step 3: Cross multiply
    3,778.62x = 5,667 × 1,586.76
  4. Step 4: Simplify right side
    3,778.62x = 8,992,168.92
  5. Step 5: Solve for x
    x = 8,992,168.92/3,778.62
  6. Step 6: Final answer
    x = 2,379.75

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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.