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Finding the Fourth Proportional to 3,767.88, 5,200.11 and 2,275.80

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Solution

The fourth proportional to 3,767.88, 5,200.11 and 2,275.80 is: 3,140.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,767.88 : 5,200.11 = 2,275.80 : x
  2. Step 2: Convert to fraction form
    3,767.88/5,200.11 = 2,275.80/x
  3. Step 3: Cross multiply
    3,767.88x = 5,200.11 × 2,275.80
  4. Step 4: Simplify right side
    3,767.88x = 11,834,410.34
  5. Step 5: Solve for x
    x = 11,834,410.34/3,767.88
  6. Step 6: Final answer
    x = 3,140.87

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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.