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Finding the Fourth Proportional to 5,238.72, 7,228.50 and 3,142.88

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Solution

The fourth proportional to 5,238.72, 7,228.50 and 3,142.88 is: 4,336.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,238.72 : 7,228.50 = 3,142.88 : x
  2. Step 2: Convert to fraction form
    5,238.72/7,228.50 = 3,142.88/x
  3. Step 3: Cross multiply
    5,238.72x = 7,228.50 × 3,142.88
  4. Step 4: Simplify right side
    5,238.72x = 22,718,308.08
  5. Step 5: Solve for x
    x = 22,718,308.08/5,238.72
  6. Step 6: Final answer
    x = 4,336.61

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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.