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Finding the Fourth Proportional to 3,006.64, 4,486.79 and 2,642.22

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Solution

The fourth proportional to 3,006.64, 4,486.79 and 2,642.22 is: 3,942.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,006.64 : 4,486.79 = 2,642.22 : x
  2. Step 2: Convert to fraction form
    3,006.64/4,486.79 = 2,642.22/x
  3. Step 3: Cross multiply
    3,006.64x = 4,486.79 × 2,642.22
  4. Step 4: Simplify right side
    3,006.64x = 11,855,092.88
  5. Step 5: Solve for x
    x = 11,855,092.88/3,006.64
  6. Step 6: Final answer
    x = 3,942.97

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.