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Finding the Fourth Proportional to 3,767.87, 5,201.48 and 2,649.77

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Solution

The fourth proportional to 3,767.87, 5,201.48 and 2,649.77 is: 3,657.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,767.87 : 5,201.48 = 2,649.77 : x
  2. Step 2: Convert to fraction form
    3,767.87/5,201.48 = 2,649.77/x
  3. Step 3: Cross multiply
    3,767.87x = 5,201.48 × 2,649.77
  4. Step 4: Simplify right side
    3,767.87x = 13,782,686.40
  5. Step 5: Solve for x
    x = 13,782,686.40/3,767.87
  6. Step 6: Final answer
    x = 3,657.95

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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.