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Finding the Fourth Proportional to 4,753.44, 7,131.50 and 4,162.94

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Solution

The fourth proportional to 4,753.44, 7,131.50 and 4,162.94 is: 6,245.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,753.44 : 7,131.50 = 4,162.94 : x
  2. Step 2: Convert to fraction form
    4,753.44/7,131.50 = 4,162.94/x
  3. Step 3: Cross multiply
    4,753.44x = 7,131.50 × 4,162.94
  4. Step 4: Simplify right side
    4,753.44x = 29,688,006.61
  5. Step 5: Solve for x
    x = 29,688,006.61/4,753.44
  6. Step 6: Final answer
    x = 6,245.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.