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Finding the Fourth Proportional to 3,447.15, 5,170.74 and 850.08

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Solution

The fourth proportional to 3,447.15, 5,170.74 and 850.08 is: 1,275.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,447.15 : 5,170.74 = 850.08 : x
  2. Step 2: Convert to fraction form
    3,447.15/5,170.74 = 850.08/x
  3. Step 3: Cross multiply
    3,447.15x = 5,170.74 × 850.08
  4. Step 4: Simplify right side
    3,447.15x = 4,395,542.66
  5. Step 5: Solve for x
    x = 4,395,542.66/3,447.15
  6. Step 6: Final answer
    x = 1,275.12

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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.