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Finding the Fourth Proportional to 5,694.39, 7,858.30 and 3,176.66

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Solution

The fourth proportional to 5,694.39, 7,858.30 and 3,176.66 is: 4,383.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,694.39 : 7,858.30 = 3,176.66 : x
  2. Step 2: Convert to fraction form
    5,694.39/7,858.30 = 3,176.66/x
  3. Step 3: Cross multiply
    5,694.39x = 7,858.30 × 3,176.66
  4. Step 4: Simplify right side
    5,694.39x = 24,963,147.28
  5. Step 5: Solve for x
    x = 24,963,147.28/5,694.39
  6. Step 6: Final answer
    x = 4,383.81

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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.