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Finding the Fourth Proportional to 3,974.99, 5,485.68 and 2,296.62

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Solution

The fourth proportional to 3,974.99, 5,485.68 and 2,296.62 is: 3,169.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,974.99 : 5,485.68 = 2,296.62 : x
  2. Step 2: Convert to fraction form
    3,974.99/5,485.68 = 2,296.62/x
  3. Step 3: Cross multiply
    3,974.99x = 5,485.68 × 2,296.62
  4. Step 4: Simplify right side
    3,974.99x = 12,598,532.69
  5. Step 5: Solve for x
    x = 12,598,532.69/3,974.99
  6. Step 6: Final answer
    x = 3,169.45

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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.