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Finding the Fourth Proportional to 5,844.24, 8,766 and 2,332.80

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Solution

The fourth proportional to 5,844.24, 8,766 and 2,332.80 is: 3,499.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,844.24 : 8,766 = 2,332.80 : x
  2. Step 2: Convert to fraction form
    5,844.24/8,766 = 2,332.80/x
  3. Step 3: Cross multiply
    5,844.24x = 8,766 × 2,332.80
  4. Step 4: Simplify right side
    5,844.24x = 20,449,324.80
  5. Step 5: Solve for x
    x = 20,449,324.80/5,844.24
  6. Step 6: Final answer
    x = 3,499.06

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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.