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Finding the Fourth Proportional to 3,441.42, 5,139.72 and 2,749.14

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Solution

The fourth proportional to 3,441.42, 5,139.72 and 2,749.14 is: 4,105.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,441.42 : 5,139.72 = 2,749.14 : x
  2. Step 2: Convert to fraction form
    3,441.42/5,139.72 = 2,749.14/x
  3. Step 3: Cross multiply
    3,441.42x = 5,139.72 × 2,749.14
  4. Step 4: Simplify right side
    3,441.42x = 14,129,809.84
  5. Step 5: Solve for x
    x = 14,129,809.84/3,441.42
  6. Step 6: Final answer
    x = 4,105.81

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.