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Finding the Fourth Proportional to 3,727.97, 5,592 and 2,264.21

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Solution

The fourth proportional to 3,727.97, 5,592 and 2,264.21 is: 3,396.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,727.97 : 5,592 = 2,264.21 : x
  2. Step 2: Convert to fraction form
    3,727.97/5,592 = 2,264.21/x
  3. Step 3: Cross multiply
    3,727.97x = 5,592 × 2,264.21
  4. Step 4: Simplify right side
    3,727.97x = 12,661,462.32
  5. Step 5: Solve for x
    x = 12,661,462.32/3,727.97
  6. Step 6: Final answer
    x = 3,396.34

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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.