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Finding the Fourth Proportional to 5,523.94, 8,285.90 and 3,887.80

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Solution

The fourth proportional to 5,523.94, 8,285.90 and 3,887.80 is: 5,831.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,523.94 : 8,285.90 = 3,887.80 : x
  2. Step 2: Convert to fraction form
    5,523.94/8,285.90 = 3,887.80/x
  3. Step 3: Cross multiply
    5,523.94x = 8,285.90 × 3,887.80
  4. Step 4: Simplify right side
    5,523.94x = 32,213,922.02
  5. Step 5: Solve for x
    x = 32,213,922.02/5,523.94
  6. Step 6: Final answer
    x = 5,831.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.