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Finding the Fourth Proportional to 4,463.96, 6,161.49 and 2,784.38

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Solution

The fourth proportional to 4,463.96, 6,161.49 and 2,784.38 is: 3,843.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,463.96 : 6,161.49 = 2,784.38 : x
  2. Step 2: Convert to fraction form
    4,463.96/6,161.49 = 2,784.38/x
  3. Step 3: Cross multiply
    4,463.96x = 6,161.49 × 2,784.38
  4. Step 4: Simplify right side
    4,463.96x = 17,155,898.72
  5. Step 5: Solve for x
    x = 17,155,898.72/4,463.96
  6. Step 6: Final answer
    x = 3,843.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.