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Finding the Fourth Proportional to 5,840.16, 8,761.47 and 1,891.62

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Solution

The fourth proportional to 5,840.16, 8,761.47 and 1,891.62 is: 2,837.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,840.16 : 8,761.47 = 1,891.62 : x
  2. Step 2: Convert to fraction form
    5,840.16/8,761.47 = 1,891.62/x
  3. Step 3: Cross multiply
    5,840.16x = 8,761.47 × 1,891.62
  4. Step 4: Simplify right side
    5,840.16x = 16,573,371.88
  5. Step 5: Solve for x
    x = 16,573,371.88/5,840.16
  6. Step 6: Final answer
    x = 2,837.83

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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.