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Finding the Fourth Proportional to 4,801.72, 7,184.60 and 3,418.24

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Solution

The fourth proportional to 4,801.72, 7,184.60 and 3,418.24 is: 5,114.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,801.72 : 7,184.60 = 3,418.24 : x
  2. Step 2: Convert to fraction form
    4,801.72/7,184.60 = 3,418.24/x
  3. Step 3: Cross multiply
    4,801.72x = 7,184.60 × 3,418.24
  4. Step 4: Simplify right side
    4,801.72x = 24,558,687.10
  5. Step 5: Solve for x
    x = 24,558,687.10/4,801.72
  6. Step 6: Final answer
    x = 5,114.56

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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.