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Finding the Fourth Proportional to 3,739.82, 5,604.41 and 1,659.13

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Solution

The fourth proportional to 3,739.82, 5,604.41 and 1,659.13 is: 2,486.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,739.82 : 5,604.41 = 1,659.13 : x
  2. Step 2: Convert to fraction form
    3,739.82/5,604.41 = 1,659.13/x
  3. Step 3: Cross multiply
    3,739.82x = 5,604.41 × 1,659.13
  4. Step 4: Simplify right side
    3,739.82x = 9,298,408.45
  5. Step 5: Solve for x
    x = 9,298,408.45/3,739.82
  6. Step 6: Final answer
    x = 2,486.33

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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.