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Finding the Fourth Proportional to 3,815.62, 5,264.36 and 2,136.80

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Solution

The fourth proportional to 3,815.62, 5,264.36 and 2,136.80 is: 2,948.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,815.62 : 5,264.36 = 2,136.80 : x
  2. Step 2: Convert to fraction form
    3,815.62/5,264.36 = 2,136.80/x
  3. Step 3: Cross multiply
    3,815.62x = 5,264.36 × 2,136.80
  4. Step 4: Simplify right side
    3,815.62x = 11,248,884.45
  5. Step 5: Solve for x
    x = 11,248,884.45/3,815.62
  6. Step 6: Final answer
    x = 2,948.11

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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.