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Finding the Fourth Proportional to 3,905.80, 5,852.22 and 2,749.12

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Solution

The fourth proportional to 3,905.80, 5,852.22 and 2,749.12 is: 4,119.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,905.80 : 5,852.22 = 2,749.12 : x
  2. Step 2: Convert to fraction form
    3,905.80/5,852.22 = 2,749.12/x
  3. Step 3: Cross multiply
    3,905.80x = 5,852.22 × 2,749.12
  4. Step 4: Simplify right side
    3,905.80x = 16,088,455.05
  5. Step 5: Solve for x
    x = 16,088,455.05/3,905.80
  6. Step 6: Final answer
    x = 4,119.12

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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.