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Finding the Fourth Proportional to 3,398.62, 5,098 and 1,090.12

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Solution

The fourth proportional to 3,398.62, 5,098 and 1,090.12 is: 1,635.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,398.62 : 5,098 = 1,090.12 : x
  2. Step 2: Convert to fraction form
    3,398.62/5,098 = 1,090.12/x
  3. Step 3: Cross multiply
    3,398.62x = 5,098 × 1,090.12
  4. Step 4: Simplify right side
    3,398.62x = 5,557,431.76
  5. Step 5: Solve for x
    x = 5,557,431.76/3,398.62
  6. Step 6: Final answer
    x = 1,635.20

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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.