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Finding the Fourth Proportional to 5,044.50, 7,564.77 and 2,965.02

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Solution

The fourth proportional to 5,044.50, 7,564.77 and 2,965.02 is: 4,446.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,044.50 : 7,564.77 = 2,965.02 : x
  2. Step 2: Convert to fraction form
    5,044.50/7,564.77 = 2,965.02/x
  3. Step 3: Cross multiply
    5,044.50x = 7,564.77 × 2,965.02
  4. Step 4: Simplify right side
    5,044.50x = 22,429,694.35
  5. Step 5: Solve for x
    x = 22,429,694.35/5,044.50
  6. Step 6: Final answer
    x = 4,446.37

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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.