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Finding the Fourth Proportional to 5,865.44, 8,792.73 and 2,164.86

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Solution

The fourth proportional to 5,865.44, 8,792.73 and 2,164.86 is: 3,245.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,865.44 : 8,792.73 = 2,164.86 : x
  2. Step 2: Convert to fraction form
    5,865.44/8,792.73 = 2,164.86/x
  3. Step 3: Cross multiply
    5,865.44x = 8,792.73 × 2,164.86
  4. Step 4: Simplify right side
    5,865.44x = 19,035,029.47
  5. Step 5: Solve for x
    x = 19,035,029.47/5,865.44
  6. Step 6: Final answer
    x = 3,245.29

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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.