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Finding the Fourth Proportional to 4,000.08, 5,999.95 and 2,831.75

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Solution

The fourth proportional to 4,000.08, 5,999.95 and 2,831.75 is: 4,247.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,000.08 : 5,999.95 = 2,831.75 : x
  2. Step 2: Convert to fraction form
    4,000.08/5,999.95 = 2,831.75/x
  3. Step 3: Cross multiply
    4,000.08x = 5,999.95 × 2,831.75
  4. Step 4: Simplify right side
    4,000.08x = 16,990,314.25
  5. Step 5: Solve for x
    x = 16,990,314.25/4,000.08
  6. Step 6: Final answer
    x = 4,247.49

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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.