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Finding the Fourth Proportional to 3,396.39, 5,096.02 and 2,166.20

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Solution

The fourth proportional to 3,396.39, 5,096.02 and 2,166.20 is: 3,250.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,396.39 : 5,096.02 = 2,166.20 : x
  2. Step 2: Convert to fraction form
    3,396.39/5,096.02 = 2,166.20/x
  3. Step 3: Cross multiply
    3,396.39x = 5,096.02 × 2,166.20
  4. Step 4: Simplify right side
    3,396.39x = 11,038,994.86
  5. Step 5: Solve for x
    x = 11,038,994.86/3,396.39
  6. Step 6: Final answer
    x = 3,250.22

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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.