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Finding the Fourth Proportional to 3,797.68, 5,240.82 and 2,225.80

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Solution

The fourth proportional to 3,797.68, 5,240.82 and 2,225.80 is: 3,071.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,797.68 : 5,240.82 = 2,225.80 : x
  2. Step 2: Convert to fraction form
    3,797.68/5,240.82 = 2,225.80/x
  3. Step 3: Cross multiply
    3,797.68x = 5,240.82 × 2,225.80
  4. Step 4: Simplify right side
    3,797.68x = 11,665,017.16
  5. Step 5: Solve for x
    x = 11,665,017.16/3,797.68
  6. Step 6: Final answer
    x = 3,071.62

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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.