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Finding the Fourth Proportional to 3,706.50, 5,557.15 and 1,729.99

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Solution

The fourth proportional to 3,706.50, 5,557.15 and 1,729.99 is: 2,593.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,706.50 : 5,557.15 = 1,729.99 : x
  2. Step 2: Convert to fraction form
    3,706.50/5,557.15 = 1,729.99/x
  3. Step 3: Cross multiply
    3,706.50x = 5,557.15 × 1,729.99
  4. Step 4: Simplify right side
    3,706.50x = 9,613,813.93
  5. Step 5: Solve for x
    x = 9,613,813.93/3,706.50
  6. Step 6: Final answer
    x = 2,593.77

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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.