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Finding the Fourth Proportional to 5,182.82, 7,152.26 and 2,824.96

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Solution

The fourth proportional to 5,182.82, 7,152.26 and 2,824.96 is: 3,898.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,182.82 : 7,152.26 = 2,824.96 : x
  2. Step 2: Convert to fraction form
    5,182.82/7,152.26 = 2,824.96/x
  3. Step 3: Cross multiply
    5,182.82x = 7,152.26 × 2,824.96
  4. Step 4: Simplify right side
    5,182.82x = 20,204,848.41
  5. Step 5: Solve for x
    x = 20,204,848.41/5,182.82
  6. Step 6: Final answer
    x = 3,898.43

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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.