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Finding the Fourth Proportional to 5,797.92, 8,695.98 and 1,902.30

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Solution

The fourth proportional to 5,797.92, 8,695.98 and 1,902.30 is: 2,853.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,797.92 : 8,695.98 = 1,902.30 : x
  2. Step 2: Convert to fraction form
    5,797.92/8,695.98 = 1,902.30/x
  3. Step 3: Cross multiply
    5,797.92x = 8,695.98 × 1,902.30
  4. Step 4: Simplify right side
    5,797.92x = 16,542,362.75
  5. Step 5: Solve for x
    x = 16,542,362.75/5,797.92
  6. Step 6: Final answer
    x = 2,853.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.