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Finding the Fourth Proportional to 2,858.36, 3,967.66 and 2,789.24

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Solution

The fourth proportional to 2,858.36, 3,967.66 and 2,789.24 is: 3,871.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,858.36 : 3,967.66 = 2,789.24 : x
  2. Step 2: Convert to fraction form
    2,858.36/3,967.66 = 2,789.24/x
  3. Step 3: Cross multiply
    2,858.36x = 3,967.66 × 2,789.24
  4. Step 4: Simplify right side
    2,858.36x = 11,066,755.98
  5. Step 5: Solve for x
    x = 11,066,755.98/2,858.36
  6. Step 6: Final answer
    x = 3,871.72

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.