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Finding the Fourth Proportional to 4,617.92, 6,367.92 and 3,044

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Solution

The fourth proportional to 4,617.92, 6,367.92 and 3,044 is: 4,197.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,617.92 : 6,367.92 = 3,044 : x
  2. Step 2: Convert to fraction form
    4,617.92/6,367.92 = 3,044/x
  3. Step 3: Cross multiply
    4,617.92x = 6,367.92 × 3,044
  4. Step 4: Simplify right side
    4,617.92x = 19,383,948.48
  5. Step 5: Solve for x
    x = 19,383,948.48/4,617.92
  6. Step 6: Final answer
    x = 4,197.55

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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.