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Finding the Fourth Proportional to 5,949.67, 8,210.42 and 3,296.92

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Solution

The fourth proportional to 5,949.67, 8,210.42 and 3,296.92 is: 4,549.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,949.67 : 8,210.42 = 3,296.92 : x
  2. Step 2: Convert to fraction form
    5,949.67/8,210.42 = 3,296.92/x
  3. Step 3: Cross multiply
    5,949.67x = 8,210.42 × 3,296.92
  4. Step 4: Simplify right side
    5,949.67x = 27,069,097.91
  5. Step 5: Solve for x
    x = 27,069,097.91/5,949.67
  6. Step 6: Final answer
    x = 4,549.68

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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.