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Finding the Fourth Proportional to 4,172.54, 5,757.58 and 2,493.64

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Solution

The fourth proportional to 4,172.54, 5,757.58 and 2,493.64 is: 3,440.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,172.54 : 5,757.58 = 2,493.64 : x
  2. Step 2: Convert to fraction form
    4,172.54/5,757.58 = 2,493.64/x
  3. Step 3: Cross multiply
    4,172.54x = 5,757.58 × 2,493.64
  4. Step 4: Simplify right side
    4,172.54x = 14,357,309.72
  5. Step 5: Solve for x
    x = 14,357,309.72/4,172.54
  6. Step 6: Final answer
    x = 3,440.91

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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.