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Finding the Fourth Proportional to 3,277, 4,916.94 and 1,909

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Solution

The fourth proportional to 3,277, 4,916.94 and 1,909 is: 2,864.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,277 : 4,916.94 = 1,909 : x
  2. Step 2: Convert to fraction form
    3,277/4,916.94 = 1,909/x
  3. Step 3: Cross multiply
    3,277x = 4,916.94 × 1,909
  4. Step 4: Simplify right side
    3,277x = 9,386,438.46
  5. Step 5: Solve for x
    x = 9,386,438.46/3,277
  6. Step 6: Final answer
    x = 2,864.34

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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.