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Finding the Fourth Proportional to 3,434.77, 5,177.89 and 3,205.90

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Solution

The fourth proportional to 3,434.77, 5,177.89 and 3,205.90 is: 4,832.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,434.77 : 5,177.89 = 3,205.90 : x
  2. Step 2: Convert to fraction form
    3,434.77/5,177.89 = 3,205.90/x
  3. Step 3: Cross multiply
    3,434.77x = 5,177.89 × 3,205.90
  4. Step 4: Simplify right side
    3,434.77x = 16,599,792.62
  5. Step 5: Solve for x
    x = 16,599,792.62/3,434.77
  6. Step 6: Final answer
    x = 4,832.87

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.