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Finding the Fourth Proportional to 3,474.56, 5,212.56 and 1,166

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Solution

The fourth proportional to 3,474.56, 5,212.56 and 1,166 is: 1,749.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,474.56 : 5,212.56 = 1,166 : x
  2. Step 2: Convert to fraction form
    3,474.56/5,212.56 = 1,166/x
  3. Step 3: Cross multiply
    3,474.56x = 5,212.56 × 1,166
  4. Step 4: Simplify right side
    3,474.56x = 6,077,844.96
  5. Step 5: Solve for x
    x = 6,077,844.96/3,474.56
  6. Step 6: Final answer
    x = 1,749.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.