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Finding the Fourth Proportional to 4,003.66, 6,003.82 and 1,923.18

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Solution

The fourth proportional to 4,003.66, 6,003.82 and 1,923.18 is: 2,883.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,003.66 : 6,003.82 = 1,923.18 : x
  2. Step 2: Convert to fraction form
    4,003.66/6,003.82 = 1,923.18/x
  3. Step 3: Cross multiply
    4,003.66x = 6,003.82 × 1,923.18
  4. Step 4: Simplify right side
    4,003.66x = 11,546,406.44
  5. Step 5: Solve for x
    x = 11,546,406.44/4,003.66
  6. Step 6: Final answer
    x = 2,883.96

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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.