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Finding the Fourth Proportional to 3,854.52, 5,785.40 and 2,006.96

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Solution

The fourth proportional to 3,854.52, 5,785.40 and 2,006.96 is: 3,012.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,854.52 : 5,785.40 = 2,006.96 : x
  2. Step 2: Convert to fraction form
    3,854.52/5,785.40 = 2,006.96/x
  3. Step 3: Cross multiply
    3,854.52x = 5,785.40 × 2,006.96
  4. Step 4: Simplify right side
    3,854.52x = 11,611,042.47
  5. Step 5: Solve for x
    x = 11,611,042.47/3,854.52
  6. Step 6: Final answer
    x = 3,012.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.