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Finding the Fourth Proportional to 3,776.73, 5,211.78 and 2,098.10

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Solution

The fourth proportional to 3,776.73, 5,211.78 and 2,098.10 is: 2,895.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,776.73 : 5,211.78 = 2,098.10 : x
  2. Step 2: Convert to fraction form
    3,776.73/5,211.78 = 2,098.10/x
  3. Step 3: Cross multiply
    3,776.73x = 5,211.78 × 2,098.10
  4. Step 4: Simplify right side
    3,776.73x = 10,934,809.56
  5. Step 5: Solve for x
    x = 10,934,809.56/3,776.73
  6. Step 6: Final answer
    x = 2,895.31

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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.