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Finding the Fourth Proportional to 3,737.82, 5,120.83 and 3,597.69

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Solution

The fourth proportional to 3,737.82, 5,120.83 and 3,597.69 is: 4,928.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,737.82 : 5,120.83 = 3,597.69 : x
  2. Step 2: Convert to fraction form
    3,737.82/5,120.83 = 3,597.69/x
  3. Step 3: Cross multiply
    3,737.82x = 5,120.83 × 3,597.69
  4. Step 4: Simplify right side
    3,737.82x = 18,423,144.18
  5. Step 5: Solve for x
    x = 18,423,144.18/3,737.82
  6. Step 6: Final answer
    x = 4,928.85

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.