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Finding the Fourth Proportional to 3,797.25, 5,240.75 and 3,631.20

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Solution

The fourth proportional to 3,797.25, 5,240.75 and 3,631.20 is: 5,011.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,797.25 : 5,240.75 = 3,631.20 : x
  2. Step 2: Convert to fraction form
    3,797.25/5,240.75 = 3,631.20/x
  3. Step 3: Cross multiply
    3,797.25x = 5,240.75 × 3,631.20
  4. Step 4: Simplify right side
    3,797.25x = 19,030,193.24
  5. Step 5: Solve for x
    x = 19,030,193.24/3,797.25
  6. Step 6: Final answer
    x = 5,011.57

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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.