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Finding the Fourth Proportional to 3,737.46, 5,120.34 and 3,597.33

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Solution

The fourth proportional to 3,737.46, 5,120.34 and 3,597.33 is: 4,928.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,737.46 : 5,120.34 = 3,597.33 : x
  2. Step 2: Convert to fraction form
    3,737.46/5,120.34 = 3,597.33/x
  3. Step 3: Cross multiply
    3,737.46x = 5,120.34 × 3,597.33
  4. Step 4: Simplify right side
    3,737.46x = 18,419,518.10
  5. Step 5: Solve for x
    x = 18,419,518.10/3,737.46
  6. Step 6: Final answer
    x = 4,928.36

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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.