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Finding the Fourth Proportional to 3,277.85, 4,916.81 and 2,174.33

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Solution

The fourth proportional to 3,277.85, 4,916.81 and 2,174.33 is: 3,261.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,277.85 : 4,916.81 = 2,174.33 : x
  2. Step 2: Convert to fraction form
    3,277.85/4,916.81 = 2,174.33/x
  3. Step 3: Cross multiply
    3,277.85x = 4,916.81 × 2,174.33
  4. Step 4: Simplify right side
    3,277.85x = 10,690,767.49
  5. Step 5: Solve for x
    x = 10,690,767.49/3,277.85
  6. Step 6: Final answer
    x = 3,261.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.