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Finding the Fourth Proportional to 4,467, 6,164.78 and 2,579.16

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Solution

The fourth proportional to 4,467, 6,164.78 and 2,579.16 is: 3,559.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,467 : 6,164.78 = 2,579.16 : x
  2. Step 2: Convert to fraction form
    4,467/6,164.78 = 2,579.16/x
  3. Step 3: Cross multiply
    4,467x = 6,164.78 × 2,579.16
  4. Step 4: Simplify right side
    4,467x = 15,899,941.09
  5. Step 5: Solve for x
    x = 15,899,941.09/4,467
  6. Step 6: Final answer
    x = 3,559.42

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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.