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Finding the Fourth Proportional to 4,650, 6,419.92 and 3,233.24

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Solution

The fourth proportional to 4,650, 6,419.92 and 3,233.24 is: 4,463.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,650 : 6,419.92 = 3,233.24 : x
  2. Step 2: Convert to fraction form
    4,650/6,419.92 = 3,233.24/x
  3. Step 3: Cross multiply
    4,650x = 6,419.92 × 3,233.24
  4. Step 4: Simplify right side
    4,650x = 20,757,142.14
  5. Step 5: Solve for x
    x = 20,757,142.14/4,650
  6. Step 6: Final answer
    x = 4,463.90

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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.