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Finding the Fourth Proportional to 5,583.80, 8,375.50 and 2,253.48

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Solution

The fourth proportional to 5,583.80, 8,375.50 and 2,253.48 is: 3,380.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,583.80 : 8,375.50 = 2,253.48 : x
  2. Step 2: Convert to fraction form
    5,583.80/8,375.50 = 2,253.48/x
  3. Step 3: Cross multiply
    5,583.80x = 8,375.50 × 2,253.48
  4. Step 4: Simplify right side
    5,583.80x = 18,874,021.74
  5. Step 5: Solve for x
    x = 18,874,021.74/5,583.80
  6. Step 6: Final answer
    x = 3,380.14

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Why These Related Problems?

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