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Finding the Fourth Proportional to 5,796.80, 8,693.14 and 2,098.07

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Solution

The fourth proportional to 5,796.80, 8,693.14 and 2,098.07 is: 3,146.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,796.80 : 8,693.14 = 2,098.07 : x
  2. Step 2: Convert to fraction form
    5,796.80/8,693.14 = 2,098.07/x
  3. Step 3: Cross multiply
    5,796.80x = 8,693.14 × 2,098.07
  4. Step 4: Simplify right side
    5,796.80x = 18,238,805.75
  5. Step 5: Solve for x
    x = 18,238,805.75/5,796.80
  6. Step 6: Final answer
    x = 3,146.36

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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.