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Finding the Fourth Proportional to 3,797.47, 5,240.46 and 2,677.24

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Solution

The fourth proportional to 3,797.47, 5,240.46 and 2,677.24 is: 3,694.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,797.47 : 5,240.46 = 2,677.24 : x
  2. Step 2: Convert to fraction form
    3,797.47/5,240.46 = 2,677.24/x
  3. Step 3: Cross multiply
    3,797.47x = 5,240.46 × 2,677.24
  4. Step 4: Simplify right side
    3,797.47x = 14,029,969.13
  5. Step 5: Solve for x
    x = 14,029,969.13/3,797.47
  6. Step 6: Final answer
    x = 3,694.56

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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.