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Finding the Fourth Proportional to 5,822.52, 8,035.03 and 3,169.90

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Solution

The fourth proportional to 5,822.52, 8,035.03 and 3,169.90 is: 4,374.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,822.52 : 8,035.03 = 3,169.90 : x
  2. Step 2: Convert to fraction form
    5,822.52/8,035.03 = 3,169.90/x
  3. Step 3: Cross multiply
    5,822.52x = 8,035.03 × 3,169.90
  4. Step 4: Simplify right side
    5,822.52x = 25,470,241.60
  5. Step 5: Solve for x
    x = 25,470,241.60/5,822.52
  6. Step 6: Final answer
    x = 4,374.44

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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.