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Finding the Fourth Proportional to 5,797.30, 8,693.88 and 2,098.57

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Solution

The fourth proportional to 5,797.30, 8,693.88 and 2,098.57 is: 3,147.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,797.30 : 8,693.88 = 2,098.57 : x
  2. Step 2: Convert to fraction form
    5,797.30/8,693.88 = 2,098.57/x
  3. Step 3: Cross multiply
    5,797.30x = 8,693.88 × 2,098.57
  4. Step 4: Simplify right side
    5,797.30x = 18,244,715.75
  5. Step 5: Solve for x
    x = 18,244,715.75/5,797.30
  6. Step 6: Final answer
    x = 3,147.11

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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.