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Finding the Fourth Proportional to 3,815.62, 5,265.41 and 2,136.94

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Solution

The fourth proportional to 3,815.62, 5,265.41 and 2,136.94 is: 2,948.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,815.62 : 5,265.41 = 2,136.94 : x
  2. Step 2: Convert to fraction form
    3,815.62/5,265.41 = 2,136.94/x
  3. Step 3: Cross multiply
    3,815.62x = 5,265.41 × 2,136.94
  4. Step 4: Simplify right side
    3,815.62x = 11,251,869.16
  5. Step 5: Solve for x
    x = 11,251,869.16/3,815.62
  6. Step 6: Final answer
    x = 2,948.90

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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.