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Finding the Fourth Proportional to 3,557.78, 5,310.99 and 3,398.02

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Solution

The fourth proportional to 3,557.78, 5,310.99 and 3,398.02 is: 5,072.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,557.78 : 5,310.99 = 3,398.02 : x
  2. Step 2: Convert to fraction form
    3,557.78/5,310.99 = 3,398.02/x
  3. Step 3: Cross multiply
    3,557.78x = 5,310.99 × 3,398.02
  4. Step 4: Simplify right side
    3,557.78x = 18,046,850.24
  5. Step 5: Solve for x
    x = 18,046,850.24/3,557.78
  6. Step 6: Final answer
    x = 5,072.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.