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Finding the Fourth Proportional to 5,548.43, 8,321.16 and 1,850.78

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Solution

The fourth proportional to 5,548.43, 8,321.16 and 1,850.78 is: 2,775.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,548.43 : 8,321.16 = 1,850.78 : x
  2. Step 2: Convert to fraction form
    5,548.43/8,321.16 = 1,850.78/x
  3. Step 3: Cross multiply
    5,548.43x = 8,321.16 × 1,850.78
  4. Step 4: Simplify right side
    5,548.43x = 15,400,636.50
  5. Step 5: Solve for x
    x = 15,400,636.50/5,548.43
  6. Step 6: Final answer
    x = 2,775.67

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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.