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Finding the Fourth Proportional to 5,293.80, 7,944.35 and 2,375.37

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Solution

The fourth proportional to 5,293.80, 7,944.35 and 2,375.37 is: 3,564.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,293.80 : 7,944.35 = 2,375.37 : x
  2. Step 2: Convert to fraction form
    5,293.80/7,944.35 = 2,375.37/x
  3. Step 3: Cross multiply
    5,293.80x = 7,944.35 × 2,375.37
  4. Step 4: Simplify right side
    5,293.80x = 18,870,770.66
  5. Step 5: Solve for x
    x = 18,870,770.66/5,293.80
  6. Step 6: Final answer
    x = 3,564.69

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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.