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Finding the Fourth Proportional to 5,549.22, 8,322 and 1,850.43

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Solution

The fourth proportional to 5,549.22, 8,322 and 1,850.43 is: 2,775.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,549.22 : 8,322 = 1,850.43 : x
  2. Step 2: Convert to fraction form
    5,549.22/8,322 = 1,850.43/x
  3. Step 3: Cross multiply
    5,549.22x = 8,322 × 1,850.43
  4. Step 4: Simplify right side
    5,549.22x = 15,399,278.46
  5. Step 5: Solve for x
    x = 15,399,278.46/5,549.22
  6. Step 6: Final answer
    x = 2,775.03

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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.