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Finding the Fourth Proportional to 4,399, 6,073.38 and 2,829.82

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Solution

The fourth proportional to 4,399, 6,073.38 and 2,829.82 is: 3,906.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,399 : 6,073.38 = 2,829.82 : x
  2. Step 2: Convert to fraction form
    4,399/6,073.38 = 2,829.82/x
  3. Step 3: Cross multiply
    4,399x = 6,073.38 × 2,829.82
  4. Step 4: Simplify right side
    4,399x = 17,186,572.19
  5. Step 5: Solve for x
    x = 17,186,572.19/4,399
  6. Step 6: Final answer
    x = 3,906.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.