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Finding the Fourth Proportional to 3,474.51, 5,209.74 and 1,524.57

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Solution

The fourth proportional to 3,474.51, 5,209.74 and 1,524.57 is: 2,285.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,474.51 : 5,209.74 = 1,524.57 : x
  2. Step 2: Convert to fraction form
    3,474.51/5,209.74 = 1,524.57/x
  3. Step 3: Cross multiply
    3,474.51x = 5,209.74 × 1,524.57
  4. Step 4: Simplify right side
    3,474.51x = 7,942,613.31
  5. Step 5: Solve for x
    x = 7,942,613.31/3,474.51
  6. Step 6: Final answer
    x = 2,285.97

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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.