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Finding the Fourth Proportional to 5,894.27, 8,841.41 and 1,511.73

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Solution

The fourth proportional to 5,894.27, 8,841.41 and 1,511.73 is: 2,267.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,894.27 : 8,841.41 = 1,511.73 : x
  2. Step 2: Convert to fraction form
    5,894.27/8,841.41 = 1,511.73/x
  3. Step 3: Cross multiply
    5,894.27x = 8,841.41 × 1,511.73
  4. Step 4: Simplify right side
    5,894.27x = 13,365,793.73
  5. Step 5: Solve for x
    x = 13,365,793.73/5,894.27
  6. Step 6: Final answer
    x = 2,267.59

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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.