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Finding the Fourth Proportional to 3,695.09, 5,542.92 and 1,098

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Solution

The fourth proportional to 3,695.09, 5,542.92 and 1,098 is: 1,647.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,695.09 : 5,542.92 = 1,098 : x
  2. Step 2: Convert to fraction form
    3,695.09/5,542.92 = 1,098/x
  3. Step 3: Cross multiply
    3,695.09x = 5,542.92 × 1,098
  4. Step 4: Simplify right side
    3,695.09x = 6,086,126.16
  5. Step 5: Solve for x
    x = 6,086,126.16/3,695.09
  6. Step 6: Final answer
    x = 1,647.09

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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.