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Finding the Fourth Proportional to 3,876.90, 5,817.42 and 3,667.83

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Solution

The fourth proportional to 3,876.90, 5,817.42 and 3,667.83 is: 5,503.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,876.90 : 5,817.42 = 3,667.83 : x
  2. Step 2: Convert to fraction form
    3,876.90/5,817.42 = 3,667.83/x
  3. Step 3: Cross multiply
    3,876.90x = 5,817.42 × 3,667.83
  4. Step 4: Simplify right side
    3,876.90x = 21,337,307.60
  5. Step 5: Solve for x
    x = 21,337,307.60/3,876.90
  6. Step 6: Final answer
    x = 5,503.70

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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.