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Finding the Fourth Proportional to 5,086.09, 7,627.24 and 1,753.41

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Solution

The fourth proportional to 5,086.09, 7,627.24 and 1,753.41 is: 2,629.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,086.09 : 7,627.24 = 1,753.41 : x
  2. Step 2: Convert to fraction form
    5,086.09/7,627.24 = 1,753.41/x
  3. Step 3: Cross multiply
    5,086.09x = 7,627.24 × 1,753.41
  4. Step 4: Simplify right side
    5,086.09x = 13,373,674.50
  5. Step 5: Solve for x
    x = 13,373,674.50/5,086.09
  6. Step 6: Final answer
    x = 2,629.46

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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.