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Finding the Fourth Proportional to 5,711.22, 8,568 and 2,424.30

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Solution

The fourth proportional to 5,711.22, 8,568 and 2,424.30 is: 3,636.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,711.22 : 8,568 = 2,424.30 : x
  2. Step 2: Convert to fraction form
    5,711.22/8,568 = 2,424.30/x
  3. Step 3: Cross multiply
    5,711.22x = 8,568 × 2,424.30
  4. Step 4: Simplify right side
    5,711.22x = 20,771,402.40
  5. Step 5: Solve for x
    x = 20,771,402.40/5,711.22
  6. Step 6: Final answer
    x = 3,636.95

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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.