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Finding the Fourth Proportional to 4,809.30, 7,198.41 and 4,354.62

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Solution

The fourth proportional to 4,809.30, 7,198.41 and 4,354.62 is: 6,517.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,809.30 : 7,198.41 = 4,354.62 : x
  2. Step 2: Convert to fraction form
    4,809.30/7,198.41 = 4,354.62/x
  3. Step 3: Cross multiply
    4,809.30x = 7,198.41 × 4,354.62
  4. Step 4: Simplify right side
    4,809.30x = 31,346,340.15
  5. Step 5: Solve for x
    x = 31,346,340.15/4,809.30
  6. Step 6: Final answer
    x = 6,517.86

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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.