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Finding the Fourth Proportional to 3,469.33, 4,784.31 and 2,938.17

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Solution

The fourth proportional to 3,469.33, 4,784.31 and 2,938.17 is: 4,051.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,469.33 : 4,784.31 = 2,938.17 : x
  2. Step 2: Convert to fraction form
    3,469.33/4,784.31 = 2,938.17/x
  3. Step 3: Cross multiply
    3,469.33x = 4,784.31 × 2,938.17
  4. Step 4: Simplify right side
    3,469.33x = 14,057,145.07
  5. Step 5: Solve for x
    x = 14,057,145.07/3,469.33
  6. Step 6: Final answer
    x = 4,051.83

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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.