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Finding the Fourth Proportional to 5,766.14, 8,637.81 and 3,812.42

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Solution

The fourth proportional to 5,766.14, 8,637.81 and 3,812.42 is: 5,711.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,766.14 : 8,637.81 = 3,812.42 : x
  2. Step 2: Convert to fraction form
    5,766.14/8,637.81 = 3,812.42/x
  3. Step 3: Cross multiply
    5,766.14x = 8,637.81 × 3,812.42
  4. Step 4: Simplify right side
    5,766.14x = 32,930,959.60
  5. Step 5: Solve for x
    x = 32,930,959.60/5,766.14
  6. Step 6: Final answer
    x = 5,711.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.