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Finding the Fourth Proportional to 3,906.16, 5,838.13 and 3,594.82

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Solution

The fourth proportional to 3,906.16, 5,838.13 and 3,594.82 is: 5,372.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,906.16 : 5,838.13 = 3,594.82 : x
  2. Step 2: Convert to fraction form
    3,906.16/5,838.13 = 3,594.82/x
  3. Step 3: Cross multiply
    3,906.16x = 5,838.13 × 3,594.82
  4. Step 4: Simplify right side
    3,906.16x = 20,987,026.49
  5. Step 5: Solve for x
    x = 20,987,026.49/3,906.16
  6. Step 6: Final answer
    x = 5,372.80

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.