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Finding the Fourth Proportional to 2,912.52, 4,358.37 and 2,523.84

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Solution

The fourth proportional to 2,912.52, 4,358.37 and 2,523.84 is: 3,776.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,912.52 : 4,358.37 = 2,523.84 : x
  2. Step 2: Convert to fraction form
    2,912.52/4,358.37 = 2,523.84/x
  3. Step 3: Cross multiply
    2,912.52x = 4,358.37 × 2,523.84
  4. Step 4: Simplify right side
    2,912.52x = 10,999,828.54
  5. Step 5: Solve for x
    x = 10,999,828.54/2,912.52
  6. Step 6: Final answer
    x = 3,776.74

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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.