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Finding the Fourth Proportional to 5,843.92, 8,764.63 and 1,683.15

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Solution

The fourth proportional to 5,843.92, 8,764.63 and 1,683.15 is: 2,524.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,843.92 : 8,764.63 = 1,683.15 : x
  2. Step 2: Convert to fraction form
    5,843.92/8,764.63 = 1,683.15/x
  3. Step 3: Cross multiply
    5,843.92x = 8,764.63 × 1,683.15
  4. Step 4: Simplify right side
    5,843.92x = 14,752,228.59
  5. Step 5: Solve for x
    x = 14,752,228.59/5,843.92
  6. Step 6: Final answer
    x = 2,524.37

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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.