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Finding the Fourth Proportional to 3,649.61, 5,037.84 and 2,767.52

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Solution

The fourth proportional to 3,649.61, 5,037.84 and 2,767.52 is: 3,820.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,649.61 : 5,037.84 = 2,767.52 : x
  2. Step 2: Convert to fraction form
    3,649.61/5,037.84 = 2,767.52/x
  3. Step 3: Cross multiply
    3,649.61x = 5,037.84 × 2,767.52
  4. Step 4: Simplify right side
    3,649.61x = 13,942,297.77
  5. Step 5: Solve for x
    x = 13,942,297.77/3,649.61
  6. Step 6: Final answer
    x = 3,820.22

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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.