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Finding the Fourth Proportional to 3,186.64, 4,397.60 and 1,789.36

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Solution

The fourth proportional to 3,186.64, 4,397.60 and 1,789.36 is: 2,469.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,186.64 : 4,397.60 = 1,789.36 : x
  2. Step 2: Convert to fraction form
    3,186.64/4,397.60 = 1,789.36/x
  3. Step 3: Cross multiply
    3,186.64x = 4,397.60 × 1,789.36
  4. Step 4: Simplify right side
    3,186.64x = 7,868,889.54
  5. Step 5: Solve for x
    x = 7,868,889.54/3,186.64
  6. Step 6: Final answer
    x = 2,469.34

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