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Finding the Fourth Proportional to 5,620.40, 8,422 and 2,839.32

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Solution

The fourth proportional to 5,620.40, 8,422 and 2,839.32 is: 4,254.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,620.40 : 8,422 = 2,839.32 : x
  2. Step 2: Convert to fraction form
    5,620.40/8,422 = 2,839.32/x
  3. Step 3: Cross multiply
    5,620.40x = 8,422 × 2,839.32
  4. Step 4: Simplify right side
    5,620.40x = 23,912,753.04
  5. Step 5: Solve for x
    x = 23,912,753.04/5,620.40
  6. Step 6: Final answer
    x = 4,254.64

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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.