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Finding the Fourth Proportional to 3,451.30, 5,164.59 and 3,219.59

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Solution

The fourth proportional to 3,451.30, 5,164.59 and 3,219.59 is: 4,817.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,451.30 : 5,164.59 = 3,219.59 : x
  2. Step 2: Convert to fraction form
    3,451.30/5,164.59 = 3,219.59/x
  3. Step 3: Cross multiply
    3,451.30x = 5,164.59 × 3,219.59
  4. Step 4: Simplify right side
    3,451.30x = 16,627,862.32
  5. Step 5: Solve for x
    x = 16,627,862.32/3,451.30
  6. Step 6: Final answer
    x = 4,817.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.