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Finding the Fourth Proportional to 3,589.16, 5,380.08 and 1,739.12

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Solution

The fourth proportional to 3,589.16, 5,380.08 and 1,739.12 is: 2,606.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,589.16 : 5,380.08 = 1,739.12 : x
  2. Step 2: Convert to fraction form
    3,589.16/5,380.08 = 1,739.12/x
  3. Step 3: Cross multiply
    3,589.16x = 5,380.08 × 1,739.12
  4. Step 4: Simplify right side
    3,589.16x = 9,356,604.73
  5. Step 5: Solve for x
    x = 9,356,604.73/3,589.16
  6. Step 6: Final answer
    x = 2,606.91

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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.