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Finding the Fourth Proportional to 5,199.72, 7,792.66 and 2,563.20

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Solution

The fourth proportional to 5,199.72, 7,792.66 and 2,563.20 is: 3,841.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,199.72 : 7,792.66 = 2,563.20 : x
  2. Step 2: Convert to fraction form
    5,199.72/7,792.66 = 2,563.20/x
  3. Step 3: Cross multiply
    5,199.72x = 7,792.66 × 2,563.20
  4. Step 4: Simplify right side
    5,199.72x = 19,974,146.11
  5. Step 5: Solve for x
    x = 19,974,146.11/5,199.72
  6. Step 6: Final answer
    x = 3,841.39

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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.