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Finding the Fourth Proportional to 4,609, 6,362.69 and 3,193.76

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Solution

The fourth proportional to 4,609, 6,362.69 and 3,193.76 is: 4,408.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,609 : 6,362.69 = 3,193.76 : x
  2. Step 2: Convert to fraction form
    4,609/6,362.69 = 3,193.76/x
  3. Step 3: Cross multiply
    4,609x = 6,362.69 × 3,193.76
  4. Step 4: Simplify right side
    4,609x = 20,320,904.81
  5. Step 5: Solve for x
    x = 20,320,904.81/4,609
  6. Step 6: Final answer
    x = 4,408.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.