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Finding the Fourth Proportional to 3,417.38, 5,092.49 and 3,305.90

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Solution

The fourth proportional to 3,417.38, 5,092.49 and 3,305.90 is: 4,926.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,417.38 : 5,092.49 = 3,305.90 : x
  2. Step 2: Convert to fraction form
    3,417.38/5,092.49 = 3,305.90/x
  3. Step 3: Cross multiply
    3,417.38x = 5,092.49 × 3,305.90
  4. Step 4: Simplify right side
    3,417.38x = 16,835,262.69
  5. Step 5: Solve for x
    x = 16,835,262.69/3,417.38
  6. Step 6: Final answer
    x = 4,926.37

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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.