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Finding the Fourth Proportional to 3,435.77, 5,179.40 and 3,206.90

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Solution

The fourth proportional to 3,435.77, 5,179.40 and 3,206.90 is: 4,834.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,435.77 : 5,179.40 = 3,206.90 : x
  2. Step 2: Convert to fraction form
    3,435.77/5,179.40 = 3,206.90/x
  3. Step 3: Cross multiply
    3,435.77x = 5,179.40 × 3,206.90
  4. Step 4: Simplify right side
    3,435.77x = 16,609,817.86
  5. Step 5: Solve for x
    x = 16,609,817.86/3,435.77
  6. Step 6: Final answer
    x = 4,834.38

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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.