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Finding the Fourth Proportional to 3,776.22, 5,211.12 and 2,097.62

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Solution

The fourth proportional to 3,776.22, 5,211.12 and 2,097.62 is: 2,894.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,776.22 : 5,211.12 = 2,097.62 : x
  2. Step 2: Convert to fraction form
    3,776.22/5,211.12 = 2,097.62/x
  3. Step 3: Cross multiply
    3,776.22x = 5,211.12 × 2,097.62
  4. Step 4: Simplify right side
    3,776.22x = 10,930,949.53
  5. Step 5: Solve for x
    x = 10,930,949.53/3,776.22
  6. Step 6: Final answer
    x = 2,894.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.