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Finding the Fourth Proportional to 3,599.82, 5,401.86 and 1,408.44

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Solution

The fourth proportional to 3,599.82, 5,401.86 and 1,408.44 is: 2,113.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,599.82 : 5,401.86 = 1,408.44 : x
  2. Step 2: Convert to fraction form
    3,599.82/5,401.86 = 1,408.44/x
  3. Step 3: Cross multiply
    3,599.82x = 5,401.86 × 1,408.44
  4. Step 4: Simplify right side
    3,599.82x = 7,608,195.70
  5. Step 5: Solve for x
    x = 7,608,195.70/3,599.82
  6. Step 6: Final answer
    x = 2,113.49

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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.