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Finding the Fourth Proportional to 5,568.22, 8,340 and 2,271.30

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Solution

The fourth proportional to 5,568.22, 8,340 and 2,271.30 is: 3,401.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,568.22 : 8,340 = 2,271.30 : x
  2. Step 2: Convert to fraction form
    5,568.22/8,340 = 2,271.30/x
  3. Step 3: Cross multiply
    5,568.22x = 8,340 × 2,271.30
  4. Step 4: Simplify right side
    5,568.22x = 18,942,642
  5. Step 5: Solve for x
    x = 18,942,642/5,568.22
  6. Step 6: Final answer
    x = 3,401.92

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