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Finding the Fourth Proportional to 3,418.52, 4,717.64 and 2,021.28

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Solution

The fourth proportional to 3,418.52, 4,717.64 and 2,021.28 is: 2,789.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,418.52 : 4,717.64 = 2,021.28 : x
  2. Step 2: Convert to fraction form
    3,418.52/4,717.64 = 2,021.28/x
  3. Step 3: Cross multiply
    3,418.52x = 4,717.64 × 2,021.28
  4. Step 4: Simplify right side
    3,418.52x = 9,535,671.38
  5. Step 5: Solve for x
    x = 9,535,671.38/3,418.52
  6. Step 6: Final answer
    x = 2,789.42

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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.