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Finding the Fourth Proportional to 3,777.41, 5,668.21 and 1,314

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Solution

The fourth proportional to 3,777.41, 5,668.21 and 1,314 is: 1,971.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,777.41 : 5,668.21 = 1,314 : x
  2. Step 2: Convert to fraction form
    3,777.41/5,668.21 = 1,314/x
  3. Step 3: Cross multiply
    3,777.41x = 5,668.21 × 1,314
  4. Step 4: Simplify right side
    3,777.41x = 7,448,027.94
  5. Step 5: Solve for x
    x = 7,448,027.94/3,777.41
  6. Step 6: Final answer
    x = 1,971.73

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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.