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Finding the Fourth Proportional to 5,843.44, 8,765.24 and 3,262.80

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Solution

The fourth proportional to 5,843.44, 8,765.24 and 3,262.80 is: 4,894.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,843.44 : 8,765.24 = 3,262.80 : x
  2. Step 2: Convert to fraction form
    5,843.44/8,765.24 = 3,262.80/x
  3. Step 3: Cross multiply
    5,843.44x = 8,765.24 × 3,262.80
  4. Step 4: Simplify right side
    5,843.44x = 28,599,225.07
  5. Step 5: Solve for x
    x = 28,599,225.07/5,843.44
  6. Step 6: Final answer
    x = 4,894.24

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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.