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Finding the Fourth Proportional to 4,003.24, 5,994.24 and 3,219.52

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Solution

The fourth proportional to 4,003.24, 5,994.24 and 3,219.52 is: 4,820.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,003.24 : 5,994.24 = 3,219.52 : x
  2. Step 2: Convert to fraction form
    4,003.24/5,994.24 = 3,219.52/x
  3. Step 3: Cross multiply
    4,003.24x = 5,994.24 × 3,219.52
  4. Step 4: Simplify right side
    4,003.24x = 19,298,575.56
  5. Step 5: Solve for x
    x = 19,298,575.56/4,003.24
  6. Step 6: Final answer
    x = 4,820.74

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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.