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Finding the Fourth Proportional to 3,474.38, 5,212.79 and 1,165.88

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Solution

The fourth proportional to 3,474.38, 5,212.79 and 1,165.88 is: 1,749.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,474.38 : 5,212.79 = 1,165.88 : x
  2. Step 2: Convert to fraction form
    3,474.38/5,212.79 = 1,165.88/x
  3. Step 3: Cross multiply
    3,474.38x = 5,212.79 × 1,165.88
  4. Step 4: Simplify right side
    3,474.38x = 6,077,455.71
  5. Step 5: Solve for x
    x = 6,077,455.71/3,474.38
  6. Step 6: Final answer
    x = 1,749.22

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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.