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Finding the Fourth Proportional to 3,704.74, 5,083.34 and 3,669.91

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Solution

The fourth proportional to 3,704.74, 5,083.34 and 3,669.91 is: 5,035.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,704.74 : 5,083.34 = 3,669.91 : x
  2. Step 2: Convert to fraction form
    3,704.74/5,083.34 = 3,669.91/x
  3. Step 3: Cross multiply
    3,704.74x = 5,083.34 × 3,669.91
  4. Step 4: Simplify right side
    3,704.74x = 18,655,369.24
  5. Step 5: Solve for x
    x = 18,655,369.24/3,704.74
  6. Step 6: Final answer
    x = 5,035.54

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.