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Finding the Fourth Proportional to 3,999.91, 5,999.87 and 1,403.59

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Solution

The fourth proportional to 3,999.91, 5,999.87 and 1,403.59 is: 2,105.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,999.91 : 5,999.87 = 1,403.59 : x
  2. Step 2: Convert to fraction form
    3,999.91/5,999.87 = 1,403.59/x
  3. Step 3: Cross multiply
    3,999.91x = 5,999.87 × 1,403.59
  4. Step 4: Simplify right side
    3,999.91x = 8,421,357.53
  5. Step 5: Solve for x
    x = 8,421,357.53/3,999.91
  6. Step 6: Final answer
    x = 2,105.39

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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.