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Finding the Fourth Proportional to 3,852.37, 5,777.64 and 3,767.17

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Solution

The fourth proportional to 3,852.37, 5,777.64 and 3,767.17 is: 5,649.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,852.37 : 5,777.64 = 3,767.17 : x
  2. Step 2: Convert to fraction form
    3,852.37/5,777.64 = 3,767.17/x
  3. Step 3: Cross multiply
    3,852.37x = 5,777.64 × 3,767.17
  4. Step 4: Simplify right side
    3,852.37x = 21,765,323.19
  5. Step 5: Solve for x
    x = 21,765,323.19/3,852.37
  6. Step 6: Final answer
    x = 5,649.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.