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Finding the Fourth Proportional to 3,396.42, 5,091.38 and 2,160

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Solution

The fourth proportional to 3,396.42, 5,091.38 and 2,160 is: 3,237.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,396.42 : 5,091.38 = 2,160 : x
  2. Step 2: Convert to fraction form
    3,396.42/5,091.38 = 2,160/x
  3. Step 3: Cross multiply
    3,396.42x = 5,091.38 × 2,160
  4. Step 4: Simplify right side
    3,396.42x = 10,997,380.80
  5. Step 5: Solve for x
    x = 10,997,380.80/3,396.42
  6. Step 6: Final answer
    x = 3,237.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.