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Finding the Fourth Proportional to 3,832.06, 5,742.90 and 1,749.49

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Solution

The fourth proportional to 3,832.06, 5,742.90 and 1,749.49 is: 2,621.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,832.06 : 5,742.90 = 1,749.49 : x
  2. Step 2: Convert to fraction form
    3,832.06/5,742.90 = 1,749.49/x
  3. Step 3: Cross multiply
    3,832.06x = 5,742.90 × 1,749.49
  4. Step 4: Simplify right side
    3,832.06x = 10,047,110.85
  5. Step 5: Solve for x
    x = 10,047,110.85/3,832.06
  6. Step 6: Final answer
    x = 2,621.85

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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.