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Finding the Fourth Proportional to 3,850.22, 5,777.50 and 2,095.35

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Solution

The fourth proportional to 3,850.22, 5,777.50 and 2,095.35 is: 3,144.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,850.22 : 5,777.50 = 2,095.35 : x
  2. Step 2: Convert to fraction form
    3,850.22/5,777.50 = 2,095.35/x
  3. Step 3: Cross multiply
    3,850.22x = 5,777.50 × 2,095.35
  4. Step 4: Simplify right side
    3,850.22x = 12,105,884.63
  5. Step 5: Solve for x
    x = 12,105,884.63/3,850.22
  6. Step 6: Final answer
    x = 3,144.21

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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.