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Finding the Fourth Proportional to 3,787.87, 5,224.29 and 2,462

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Solution

The fourth proportional to 3,787.87, 5,224.29 and 2,462 is: 3,395.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,787.87 : 5,224.29 = 2,462 : x
  2. Step 2: Convert to fraction form
    3,787.87/5,224.29 = 2,462/x
  3. Step 3: Cross multiply
    3,787.87x = 5,224.29 × 2,462
  4. Step 4: Simplify right side
    3,787.87x = 12,862,201.98
  5. Step 5: Solve for x
    x = 12,862,201.98/3,787.87
  6. Step 6: Final answer
    x = 3,395.63

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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.