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Finding the Fourth Proportional to 5,438.85, 7,504.32 and 3,200.82

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Solution

The fourth proportional to 5,438.85, 7,504.32 and 3,200.82 is: 4,416.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,438.85 : 7,504.32 = 3,200.82 : x
  2. Step 2: Convert to fraction form
    5,438.85/7,504.32 = 3,200.82/x
  3. Step 3: Cross multiply
    5,438.85x = 7,504.32 × 3,200.82
  4. Step 4: Simplify right side
    5,438.85x = 24,019,977.54
  5. Step 5: Solve for x
    x = 24,019,977.54/5,438.85
  6. Step 6: Final answer
    x = 4,416.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.