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Finding the Fourth Proportional to 3,850.74, 5,771.19 and 2,117.34

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Solution

The fourth proportional to 3,850.74, 5,771.19 and 2,117.34 is: 3,173.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,850.74 : 5,771.19 = 2,117.34 : x
  2. Step 2: Convert to fraction form
    3,850.74/5,771.19 = 2,117.34/x
  3. Step 3: Cross multiply
    3,850.74x = 5,771.19 × 2,117.34
  4. Step 4: Simplify right side
    3,850.74x = 12,219,571.43
  5. Step 5: Solve for x
    x = 12,219,571.43/3,850.74
  6. Step 6: Final answer
    x = 3,173.30

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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.