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Finding the Fourth Proportional to 5,863.48, 8,089.14 and 4,094.44

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Solution

The fourth proportional to 5,863.48, 8,089.14 and 4,094.44 is: 5,648.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,863.48 : 8,089.14 = 4,094.44 : x
  2. Step 2: Convert to fraction form
    5,863.48/8,089.14 = 4,094.44/x
  3. Step 3: Cross multiply
    5,863.48x = 8,089.14 × 4,094.44
  4. Step 4: Simplify right side
    5,863.48x = 33,120,498.38
  5. Step 5: Solve for x
    x = 33,120,498.38/5,863.48
  6. Step 6: Final answer
    x = 5,648.61

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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.