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Finding the Fourth Proportional to 5,757.81, 8,636.22 and 3,505.75

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Solution

The fourth proportional to 5,757.81, 8,636.22 and 3,505.75 is: 5,258.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,757.81 : 8,636.22 = 3,505.75 : x
  2. Step 2: Convert to fraction form
    5,757.81/8,636.22 = 3,505.75/x
  3. Step 3: Cross multiply
    5,757.81x = 8,636.22 × 3,505.75
  4. Step 4: Simplify right side
    5,757.81x = 30,276,461.67
  5. Step 5: Solve for x
    x = 30,276,461.67/5,757.81
  6. Step 6: Final answer
    x = 5,258.33

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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.