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Finding the Fourth Proportional to 3,398.17, 5,097.19 and 1,396.44

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Solution

The fourth proportional to 3,398.17, 5,097.19 and 1,396.44 is: 2,094.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,398.17 : 5,097.19 = 1,396.44 : x
  2. Step 2: Convert to fraction form
    3,398.17/5,097.19 = 1,396.44/x
  3. Step 3: Cross multiply
    3,398.17x = 5,097.19 × 1,396.44
  4. Step 4: Simplify right side
    3,398.17x = 7,117,900.28
  5. Step 5: Solve for x
    x = 7,117,900.28/3,398.17
  6. Step 6: Final answer
    x = 2,094.63

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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.