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Finding the Fourth Proportional to 3,562.97, 5,343.08 and 1,589.20

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Solution

The fourth proportional to 3,562.97, 5,343.08 and 1,589.20 is: 2,383.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,562.97 : 5,343.08 = 1,589.20 : x
  2. Step 2: Convert to fraction form
    3,562.97/5,343.08 = 1,589.20/x
  3. Step 3: Cross multiply
    3,562.97x = 5,343.08 × 1,589.20
  4. Step 4: Simplify right side
    3,562.97x = 8,491,201.43
  5. Step 5: Solve for x
    x = 8,491,201.43/3,562.97
  6. Step 6: Final answer
    x = 2,383.18

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1.5x scale

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.