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Finding the Fourth Proportional to 3,650.87, 5,474.69 and 2,264.15

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Solution

The fourth proportional to 3,650.87, 5,474.69 and 2,264.15 is: 3,395.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,650.87 : 5,474.69 = 2,264.15 : x
  2. Step 2: Convert to fraction form
    3,650.87/5,474.69 = 2,264.15/x
  3. Step 3: Cross multiply
    3,650.87x = 5,474.69 × 2,264.15
  4. Step 4: Simplify right side
    3,650.87x = 12,395,530.22
  5. Step 5: Solve for x
    x = 12,395,530.22/3,650.87
  6. Step 6: Final answer
    x = 3,395.22

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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.