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Finding the Fourth Proportional to 4,467.84, 6,168.64 and 3,994.24

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Solution

The fourth proportional to 4,467.84, 6,168.64 and 3,994.24 is: 5,514.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,467.84 : 6,168.64 = 3,994.24 : x
  2. Step 2: Convert to fraction form
    4,467.84/6,168.64 = 3,994.24/x
  3. Step 3: Cross multiply
    4,467.84x = 6,168.64 × 3,994.24
  4. Step 4: Simplify right side
    4,467.84x = 24,639,028.63
  5. Step 5: Solve for x
    x = 24,639,028.63/4,467.84
  6. Step 6: Final answer
    x = 5,514.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.