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Finding the Fourth Proportional to 4,486.82, 6,731.30 and 1,408.82

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Solution

The fourth proportional to 4,486.82, 6,731.30 and 1,408.82 is: 2,113.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,486.82 : 6,731.30 = 1,408.82 : x
  2. Step 2: Convert to fraction form
    4,486.82/6,731.30 = 1,408.82/x
  3. Step 3: Cross multiply
    4,486.82x = 6,731.30 × 1,408.82
  4. Step 4: Simplify right side
    4,486.82x = 9,483,183.02
  5. Step 5: Solve for x
    x = 9,483,183.02/4,486.82
  6. Step 6: Final answer
    x = 2,113.56

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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.