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Finding the Fourth Proportional to 4,784.38, 7,163.70 and 2,701.26

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Solution

The fourth proportional to 4,784.38, 7,163.70 and 2,701.26 is: 4,044.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,784.38 : 7,163.70 = 2,701.26 : x
  2. Step 2: Convert to fraction form
    4,784.38/7,163.70 = 2,701.26/x
  3. Step 3: Cross multiply
    4,784.38x = 7,163.70 × 2,701.26
  4. Step 4: Simplify right side
    4,784.38x = 19,351,016.26
  5. Step 5: Solve for x
    x = 19,351,016.26/4,784.38
  6. Step 6: Final answer
    x = 4,044.62

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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.