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Finding the Fourth Proportional to 3,776.68, 5,211.23 and 2,097.92

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Solution

The fourth proportional to 3,776.68, 5,211.23 and 2,097.92 is: 2,894.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,776.68 : 5,211.23 = 2,097.92 : x
  2. Step 2: Convert to fraction form
    3,776.68/5,211.23 = 2,097.92/x
  3. Step 3: Cross multiply
    3,776.68x = 5,211.23 × 2,097.92
  4. Step 4: Simplify right side
    3,776.68x = 10,932,733.15
  5. Step 5: Solve for x
    x = 10,932,733.15/3,776.68
  6. Step 6: Final answer
    x = 2,894.80

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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.