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Finding the Fourth Proportional to 3,772.94, 5,202.45 and 2,444.90

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Solution

The fourth proportional to 3,772.94, 5,202.45 and 2,444.90 is: 3,371.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,772.94 : 5,202.45 = 2,444.90 : x
  2. Step 2: Convert to fraction form
    3,772.94/5,202.45 = 2,444.90/x
  3. Step 3: Cross multiply
    3,772.94x = 5,202.45 × 2,444.90
  4. Step 4: Simplify right side
    3,772.94x = 12,719,470.01
  5. Step 5: Solve for x
    x = 12,719,470.01/3,772.94
  6. Step 6: Final answer
    x = 3,371.24

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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.