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Finding the Fourth Proportional to 3,599.22, 5,396.67 and 1,408.98

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Solution

The fourth proportional to 3,599.22, 5,396.67 and 1,408.98 is: 2,112.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,599.22 : 5,396.67 = 1,408.98 : x
  2. Step 2: Convert to fraction form
    3,599.22/5,396.67 = 1,408.98/x
  3. Step 3: Cross multiply
    3,599.22x = 5,396.67 × 1,408.98
  4. Step 4: Simplify right side
    3,599.22x = 7,603,800.10
  5. Step 5: Solve for x
    x = 7,603,800.10/3,599.22
  6. Step 6: Final answer
    x = 2,112.62

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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.