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Finding the Fourth Proportional to 3,706.15, 5,561.50 and 1,952.42

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Solution

The fourth proportional to 3,706.15, 5,561.50 and 1,952.42 is: 2,929.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,706.15 : 5,561.50 = 1,952.42 : x
  2. Step 2: Convert to fraction form
    3,706.15/5,561.50 = 1,952.42/x
  3. Step 3: Cross multiply
    3,706.15x = 5,561.50 × 1,952.42
  4. Step 4: Simplify right side
    3,706.15x = 10,858,383.83
  5. Step 5: Solve for x
    x = 10,858,383.83/3,706.15
  6. Step 6: Final answer
    x = 2,929.83

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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.