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Finding the Fourth Proportional to 5,949.73, 8,210.62 and 3,297.14

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Solution

The fourth proportional to 5,949.73, 8,210.62 and 3,297.14 is: 4,550.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,949.73 : 8,210.62 = 3,297.14 : x
  2. Step 2: Convert to fraction form
    5,949.73/8,210.62 = 3,297.14/x
  3. Step 3: Cross multiply
    5,949.73x = 8,210.62 × 3,297.14
  4. Step 4: Simplify right side
    5,949.73x = 27,071,563.63
  5. Step 5: Solve for x
    x = 27,071,563.63/5,949.73
  6. Step 6: Final answer
    x = 4,550.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.