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Finding the Fourth Proportional to 5,196.09, 7,792.20 and 2,422.20

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Solution

The fourth proportional to 5,196.09, 7,792.20 and 2,422.20 is: 3,632.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,196.09 : 7,792.20 = 2,422.20 : x
  2. Step 2: Convert to fraction form
    5,196.09/7,792.20 = 2,422.20/x
  3. Step 3: Cross multiply
    5,196.09x = 7,792.20 × 2,422.20
  4. Step 4: Simplify right side
    5,196.09x = 18,874,266.84
  5. Step 5: Solve for x
    x = 18,874,266.84/5,196.09
  6. Step 6: Final answer
    x = 3,632.40

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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.