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Finding the Fourth Proportional to 4,833.32, 7,247.52 and 2,234

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Solution

The fourth proportional to 4,833.32, 7,247.52 and 2,234 is: 3,349.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,833.32 : 7,247.52 = 2,234 : x
  2. Step 2: Convert to fraction form
    4,833.32/7,247.52 = 2,234/x
  3. Step 3: Cross multiply
    4,833.32x = 7,247.52 × 2,234
  4. Step 4: Simplify right side
    4,833.32x = 16,190,959.68
  5. Step 5: Solve for x
    x = 16,190,959.68/4,833.32
  6. Step 6: Final answer
    x = 3,349.86

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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.