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Finding the Fourth Proportional to 3,006.71, 4,152.10 and 2,843.09

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Solution

The fourth proportional to 3,006.71, 4,152.10 and 2,843.09 is: 3,926.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,006.71 : 4,152.10 = 2,843.09 : x
  2. Step 2: Convert to fraction form
    3,006.71/4,152.10 = 2,843.09/x
  3. Step 3: Cross multiply
    3,006.71x = 4,152.10 × 2,843.09
  4. Step 4: Simplify right side
    3,006.71x = 11,804,793.99
  5. Step 5: Solve for x
    x = 11,804,793.99/3,006.71
  6. Step 6: Final answer
    x = 3,926.15

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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.