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Finding the Fourth Proportional to 3,873.90, 5,811.71 and 1,276.66

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Solution

The fourth proportional to 3,873.90, 5,811.71 and 1,276.66 is: 1,915.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,873.90 : 5,811.71 = 1,276.66 : x
  2. Step 2: Convert to fraction form
    3,873.90/5,811.71 = 1,276.66/x
  3. Step 3: Cross multiply
    3,873.90x = 5,811.71 × 1,276.66
  4. Step 4: Simplify right side
    3,873.90x = 7,419,577.69
  5. Step 5: Solve for x
    x = 7,419,577.69/3,873.90
  6. Step 6: Final answer
    x = 1,915.27

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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.