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Finding the Fourth Proportional to 3,396, 5,096.16 and 1,344

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Solution

The fourth proportional to 3,396, 5,096.16 and 1,344 is: 2,016.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,396 : 5,096.16 = 1,344 : x
  2. Step 2: Convert to fraction form
    3,396/5,096.16 = 1,344/x
  3. Step 3: Cross multiply
    3,396x = 5,096.16 × 1,344
  4. Step 4: Simplify right side
    3,396x = 6,849,239.04
  5. Step 5: Solve for x
    x = 6,849,239.04/3,396
  6. Step 6: Final answer
    x = 2,016.85

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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.