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Finding the Fourth Proportional to 5,738.13, 8,605.05 and 3,398.64

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Solution

The fourth proportional to 5,738.13, 8,605.05 and 3,398.64 is: 5,096.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,738.13 : 8,605.05 = 3,398.64 : x
  2. Step 2: Convert to fraction form
    5,738.13/8,605.05 = 3,398.64/x
  3. Step 3: Cross multiply
    5,738.13x = 8,605.05 × 3,398.64
  4. Step 4: Simplify right side
    5,738.13x = 29,245,467.13
  5. Step 5: Solve for x
    x = 29,245,467.13/5,738.13
  6. Step 6: Final answer
    x = 5,096.69

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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.