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Finding the Fourth Proportional to 3,186.62, 4,397.54 and 1,789.38

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Solution

The fourth proportional to 3,186.62, 4,397.54 and 1,789.38 is: 2,469.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,186.62 : 4,397.54 = 1,789.38 : x
  2. Step 2: Convert to fraction form
    3,186.62/4,397.54 = 1,789.38/x
  3. Step 3: Cross multiply
    3,186.62x = 4,397.54 × 1,789.38
  4. Step 4: Simplify right side
    3,186.62x = 7,868,870.13
  5. Step 5: Solve for x
    x = 7,868,870.13/3,186.62
  6. Step 6: Final answer
    x = 2,469.35

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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.