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Finding the Fourth Proportional to 3,546.99, 5,321.25 and 1,082

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Solution

The fourth proportional to 3,546.99, 5,321.25 and 1,082 is: 1,623.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,546.99 : 5,321.25 = 1,082 : x
  2. Step 2: Convert to fraction form
    3,546.99/5,321.25 = 1,082/x
  3. Step 3: Cross multiply
    3,546.99x = 5,321.25 × 1,082
  4. Step 4: Simplify right side
    3,546.99x = 5,757,592.50
  5. Step 5: Solve for x
    x = 5,757,592.50/3,546.99
  6. Step 6: Final answer
    x = 1,623.23

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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.