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Finding the Fourth Proportional to 3,874.36, 5,811.51 and 1,277.29

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Solution

The fourth proportional to 3,874.36, 5,811.51 and 1,277.29 is: 1,915.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,874.36 : 5,811.51 = 1,277.29 : x
  2. Step 2: Convert to fraction form
    3,874.36/5,811.51 = 1,277.29/x
  3. Step 3: Cross multiply
    3,874.36x = 5,811.51 × 1,277.29
  4. Step 4: Simplify right side
    3,874.36x = 7,422,983.61
  5. Step 5: Solve for x
    x = 7,422,983.61/3,874.36
  6. Step 6: Final answer
    x = 1,915.93

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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.