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Finding the Fourth Proportional to 5,635.31, 7,777.38 and 3,398.33

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Solution

The fourth proportional to 5,635.31, 7,777.38 and 3,398.33 is: 4,690.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,635.31 : 7,777.38 = 3,398.33 : x
  2. Step 2: Convert to fraction form
    5,635.31/7,777.38 = 3,398.33/x
  3. Step 3: Cross multiply
    5,635.31x = 7,777.38 × 3,398.33
  4. Step 4: Simplify right side
    5,635.31x = 26,430,103.78
  5. Step 5: Solve for x
    x = 26,430,103.78/5,635.31
  6. Step 6: Final answer
    x = 4,690.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.