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Finding the Fourth Proportional to 5,797.20, 8,695.80 and 4,825.20

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Solution

The fourth proportional to 5,797.20, 8,695.80 and 4,825.20 is: 7,237.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,797.20 : 8,695.80 = 4,825.20 : x
  2. Step 2: Convert to fraction form
    5,797.20/8,695.80 = 4,825.20/x
  3. Step 3: Cross multiply
    5,797.20x = 8,695.80 × 4,825.20
  4. Step 4: Simplify right side
    5,797.20x = 41,958,974.16
  5. Step 5: Solve for x
    x = 41,958,974.16/5,797.20
  6. Step 6: Final answer
    x = 7,237.80

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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.