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Finding the Fourth Proportional to 3,850.34, 5,773.98 and 2,096.79

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Solution

The fourth proportional to 3,850.34, 5,773.98 and 2,096.79 is: 3,144.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,850.34 : 5,773.98 = 2,096.79 : x
  2. Step 2: Convert to fraction form
    3,850.34/5,773.98 = 2,096.79/x
  3. Step 3: Cross multiply
    3,850.34x = 5,773.98 × 2,096.79
  4. Step 4: Simplify right side
    3,850.34x = 12,106,809.73
  5. Step 5: Solve for x
    x = 12,106,809.73/3,850.34
  6. Step 6: Final answer
    x = 3,144.35

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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.