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Finding the Fourth Proportional to 3,967.39, 5,475.32 and 2,199.56

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Solution

The fourth proportional to 3,967.39, 5,475.32 and 2,199.56 is: 3,035.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,967.39 : 5,475.32 = 2,199.56 : x
  2. Step 2: Convert to fraction form
    3,967.39/5,475.32 = 2,199.56/x
  3. Step 3: Cross multiply
    3,967.39x = 5,475.32 × 2,199.56
  4. Step 4: Simplify right side
    3,967.39x = 12,043,314.05
  5. Step 5: Solve for x
    x = 12,043,314.05/3,967.39
  6. Step 6: Final answer
    x = 3,035.58

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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.