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Finding the Fourth Proportional to 5,846.56, 8,069.88 and 3,608.80

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Solution

The fourth proportional to 5,846.56, 8,069.88 and 3,608.80 is: 4,981.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,846.56 : 8,069.88 = 3,608.80 : x
  2. Step 2: Convert to fraction form
    5,846.56/8,069.88 = 3,608.80/x
  3. Step 3: Cross multiply
    5,846.56x = 8,069.88 × 3,608.80
  4. Step 4: Simplify right side
    5,846.56x = 29,122,582.94
  5. Step 5: Solve for x
    x = 29,122,582.94/5,846.56
  6. Step 6: Final answer
    x = 4,981.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.