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Finding the Fourth Proportional to 3,815.34, 5,264.48 and 2,136.42

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Solution

The fourth proportional to 3,815.34, 5,264.48 and 2,136.42 is: 2,947.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,815.34 : 5,264.48 = 2,136.42 : x
  2. Step 2: Convert to fraction form
    3,815.34/5,264.48 = 2,136.42/x
  3. Step 3: Cross multiply
    3,815.34x = 5,264.48 × 2,136.42
  4. Step 4: Simplify right side
    3,815.34x = 11,247,140.36
  5. Step 5: Solve for x
    x = 11,247,140.36/3,815.34
  6. Step 6: Final answer
    x = 2,947.87

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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.