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Finding the Fourth Proportional to 3,709.80, 5,561.04 and 1,737.48

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Solution

The fourth proportional to 3,709.80, 5,561.04 and 1,737.48 is: 2,604.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,709.80 : 5,561.04 = 1,737.48 : x
  2. Step 2: Convert to fraction form
    3,709.80/5,561.04 = 1,737.48/x
  3. Step 3: Cross multiply
    3,709.80x = 5,561.04 × 1,737.48
  4. Step 4: Simplify right side
    3,709.80x = 9,662,195.78
  5. Step 5: Solve for x
    x = 9,662,195.78/3,709.80
  6. Step 6: Final answer
    x = 2,604.51

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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.