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Finding the Fourth Proportional to 5,881.44, 8,828.36 and 3,107.42

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Solution

The fourth proportional to 5,881.44, 8,828.36 and 3,107.42 is: 4,664.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,881.44 : 8,828.36 = 3,107.42 : x
  2. Step 2: Convert to fraction form
    5,881.44/8,828.36 = 3,107.42/x
  3. Step 3: Cross multiply
    5,881.44x = 8,828.36 × 3,107.42
  4. Step 4: Simplify right side
    5,881.44x = 27,433,422.43
  5. Step 5: Solve for x
    x = 27,433,422.43/5,881.44
  6. Step 6: Final answer
    x = 4,664.41

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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.