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Finding the Fourth Proportional to 4,571.74, 6,857.67 and 1,649.86

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Solution

The fourth proportional to 4,571.74, 6,857.67 and 1,649.86 is: 2,474.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,571.74 : 6,857.67 = 1,649.86 : x
  2. Step 2: Convert to fraction form
    4,571.74/6,857.67 = 1,649.86/x
  3. Step 3: Cross multiply
    4,571.74x = 6,857.67 × 1,649.86
  4. Step 4: Simplify right side
    4,571.74x = 11,314,195.43
  5. Step 5: Solve for x
    x = 11,314,195.43/4,571.74
  6. Step 6: Final answer
    x = 2,474.81

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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.