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Finding the Fourth Proportional to 5,604.86, 7,737.81 and 3,367.28

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Solution

The fourth proportional to 5,604.86, 7,737.81 and 3,367.28 is: 4,648.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,604.86 : 7,737.81 = 3,367.28 : x
  2. Step 2: Convert to fraction form
    5,604.86/7,737.81 = 3,367.28/x
  3. Step 3: Cross multiply
    5,604.86x = 7,737.81 × 3,367.28
  4. Step 4: Simplify right side
    5,604.86x = 26,055,372.86
  5. Step 5: Solve for x
    x = 26,055,372.86/5,604.86
  6. Step 6: Final answer
    x = 4,648.71

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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.