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Finding the Fourth Proportional to 3,874.26, 5,811.63 and 1,277.22

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Solution

The fourth proportional to 3,874.26, 5,811.63 and 1,277.22 is: 1,915.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,874.26 : 5,811.63 = 1,277.22 : x
  2. Step 2: Convert to fraction form
    3,874.26/5,811.63 = 1,277.22/x
  3. Step 3: Cross multiply
    3,874.26x = 5,811.63 × 1,277.22
  4. Step 4: Simplify right side
    3,874.26x = 7,422,730.07
  5. Step 5: Solve for x
    x = 7,422,730.07/3,874.26
  6. Step 6: Final answer
    x = 1,915.91

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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.