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Finding the Fourth Proportional to 3,171.02, 4,753.19 and 1,524.09

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Solution

The fourth proportional to 3,171.02, 4,753.19 and 1,524.09 is: 2,284.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,171.02 : 4,753.19 = 1,524.09 : x
  2. Step 2: Convert to fraction form
    3,171.02/4,753.19 = 1,524.09/x
  3. Step 3: Cross multiply
    3,171.02x = 4,753.19 × 1,524.09
  4. Step 4: Simplify right side
    3,171.02x = 7,244,293.16
  5. Step 5: Solve for x
    x = 7,244,293.16/3,171.02
  6. Step 6: Final answer
    x = 2,284.53

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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.