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Finding the Fourth Proportional to 3,874.36, 5,813.16 and 1,277.56

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Solution

The fourth proportional to 3,874.36, 5,813.16 and 1,277.56 is: 1,916.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,874.36 : 5,813.16 = 1,277.56 : x
  2. Step 2: Convert to fraction form
    3,874.36/5,813.16 = 1,277.56/x
  3. Step 3: Cross multiply
    3,874.36x = 5,813.16 × 1,277.56
  4. Step 4: Simplify right side
    3,874.36x = 7,426,660.69
  5. Step 5: Solve for x
    x = 7,426,660.69/3,874.36
  6. Step 6: Final answer
    x = 1,916.87

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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.