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Finding the Fourth Proportional to 3,891.82, 5,837.74 and 2,583.94

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Solution

The fourth proportional to 3,891.82, 5,837.74 and 2,583.94 is: 3,875.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,891.82 : 5,837.74 = 2,583.94 : x
  2. Step 2: Convert to fraction form
    3,891.82/5,837.74 = 2,583.94/x
  3. Step 3: Cross multiply
    3,891.82x = 5,837.74 × 2,583.94
  4. Step 4: Simplify right side
    3,891.82x = 15,084,369.90
  5. Step 5: Solve for x
    x = 15,084,369.90/3,891.82
  6. Step 6: Final answer
    x = 3,875.92

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Why These Related Problems?

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