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Finding the Fourth Proportional to 5,797.00, 8,691.84 and 2,098.54

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Solution

The fourth proportional to 5,797.00, 8,691.84 and 2,098.54 is: 3,146.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,797.00 : 8,691.84 = 2,098.54 : x
  2. Step 2: Convert to fraction form
    5,797.00/8,691.84 = 2,098.54/x
  3. Step 3: Cross multiply
    5,797.00x = 8,691.84 × 2,098.54
  4. Step 4: Simplify right side
    5,797.00x = 18,240,184.78
  5. Step 5: Solve for x
    x = 18,240,184.78/5,797.00
  6. Step 6: Final answer
    x = 3,146.49

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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.