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Finding the Fourth Proportional to 4,794, 6,612 and 3,024.96

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Solution

The fourth proportional to 4,794, 6,612 and 3,024.96 is: 4,172.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,794 : 6,612 = 3,024.96 : x
  2. Step 2: Convert to fraction form
    4,794/6,612 = 3,024.96/x
  3. Step 3: Cross multiply
    4,794x = 6,612 × 3,024.96
  4. Step 4: Simplify right side
    4,794x = 20,001,035.52
  5. Step 5: Solve for x
    x = 20,001,035.52/4,794
  6. Step 6: Final answer
    x = 4,172.10

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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.