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Finding the Fourth Proportional to 3,474.55, 5,211.83 and 1,742.77

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Solution

The fourth proportional to 3,474.55, 5,211.83 and 1,742.77 is: 2,614.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,474.55 : 5,211.83 = 1,742.77 : x
  2. Step 2: Convert to fraction form
    3,474.55/5,211.83 = 1,742.77/x
  3. Step 3: Cross multiply
    3,474.55x = 5,211.83 × 1,742.77
  4. Step 4: Simplify right side
    3,474.55x = 9,083,020.97
  5. Step 5: Solve for x
    x = 9,083,020.97/3,474.55
  6. Step 6: Final answer
    x = 2,614.16

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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.