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Finding the Fourth Proportional to 4,862.64, 7,288.92 and 2,263.44

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Solution

The fourth proportional to 4,862.64, 7,288.92 and 2,263.44 is: 3,392.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,862.64 : 7,288.92 = 2,263.44 : x
  2. Step 2: Convert to fraction form
    4,862.64/7,288.92 = 2,263.44/x
  3. Step 3: Cross multiply
    4,862.64x = 7,288.92 × 2,263.44
  4. Step 4: Simplify right side
    4,862.64x = 16,498,033.08
  5. Step 5: Solve for x
    x = 16,498,033.08/4,862.64
  6. Step 6: Final answer
    x = 3,392.81

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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.