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Finding the Fourth Proportional to 3,603.84, 5,406.52 and 2,044.54

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Solution

The fourth proportional to 3,603.84, 5,406.52 and 2,044.54 is: 3,067.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,603.84 : 5,406.52 = 2,044.54 : x
  2. Step 2: Convert to fraction form
    3,603.84/5,406.52 = 2,044.54/x
  3. Step 3: Cross multiply
    3,603.84x = 5,406.52 × 2,044.54
  4. Step 4: Simplify right side
    3,603.84x = 11,053,846.40
  5. Step 5: Solve for x
    x = 11,053,846.40/3,603.84
  6. Step 6: Final answer
    x = 3,067.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.