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Finding the Fourth Proportional to 5,220.50, 7,829.18 and 2,753.97

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Solution

The fourth proportional to 5,220.50, 7,829.18 and 2,753.97 is: 4,130.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,220.50 : 7,829.18 = 2,753.97 : x
  2. Step 2: Convert to fraction form
    5,220.50/7,829.18 = 2,753.97/x
  3. Step 3: Cross multiply
    5,220.50x = 7,829.18 × 2,753.97
  4. Step 4: Simplify right side
    5,220.50x = 21,561,313.07
  5. Step 5: Solve for x
    x = 21,561,313.07/5,220.50
  6. Step 6: Final answer
    x = 4,130.13

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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.