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Finding the Fourth Proportional to 5,881.36, 8,112 and 3,893.62

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Solution

The fourth proportional to 5,881.36, 8,112 and 3,893.62 is: 5,370.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,881.36 : 8,112 = 3,893.62 : x
  2. Step 2: Convert to fraction form
    5,881.36/8,112 = 3,893.62/x
  3. Step 3: Cross multiply
    5,881.36x = 8,112 × 3,893.62
  4. Step 4: Simplify right side
    5,881.36x = 31,585,045.44
  5. Step 5: Solve for x
    x = 31,585,045.44/5,881.36
  6. Step 6: Final answer
    x = 5,370.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.