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Finding the Fourth Proportional to 3,595, 5,398.50 and 3,325.60

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Solution

The fourth proportional to 3,595, 5,398.50 and 3,325.60 is: 4,993.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,595 : 5,398.50 = 3,325.60 : x
  2. Step 2: Convert to fraction form
    3,595/5,398.50 = 3,325.60/x
  3. Step 3: Cross multiply
    3,595x = 5,398.50 × 3,325.60
  4. Step 4: Simplify right side
    3,595x = 17,953,251.60
  5. Step 5: Solve for x
    x = 17,953,251.60/3,595
  6. Step 6: Final answer
    x = 4,993.95

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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.