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Finding the Fourth Proportional to 3,974.77, 5,485.52 and 2,296.25

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Solution

The fourth proportional to 3,974.77, 5,485.52 and 2,296.25 is: 3,169.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,974.77 : 5,485.52 = 2,296.25 : x
  2. Step 2: Convert to fraction form
    3,974.77/5,485.52 = 2,296.25/x
  3. Step 3: Cross multiply
    3,974.77x = 5,485.52 × 2,296.25
  4. Step 4: Simplify right side
    3,974.77x = 12,596,124.18
  5. Step 5: Solve for x
    x = 12,596,124.18/3,974.77
  6. Step 6: Final answer
    x = 3,169.02

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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.