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Finding the Fourth Proportional to 5,184.72, 7,764.60 and 3,234.48

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Solution

The fourth proportional to 5,184.72, 7,764.60 and 3,234.48 is: 4,843.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,184.72 : 7,764.60 = 3,234.48 : x
  2. Step 2: Convert to fraction form
    5,184.72/7,764.60 = 3,234.48/x
  3. Step 3: Cross multiply
    5,184.72x = 7,764.60 × 3,234.48
  4. Step 4: Simplify right side
    5,184.72x = 25,114,443.41
  5. Step 5: Solve for x
    x = 25,114,443.41/5,184.72
  6. Step 6: Final answer
    x = 4,843.93

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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.