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Finding the Fourth Proportional to 4,932.50, 7,398.79 and 1,234.75

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Solution

The fourth proportional to 4,932.50, 7,398.79 and 1,234.75 is: 1,852.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,932.50 : 7,398.79 = 1,234.75 : x
  2. Step 2: Convert to fraction form
    4,932.50/7,398.79 = 1,234.75/x
  3. Step 3: Cross multiply
    4,932.50x = 7,398.79 × 1,234.75
  4. Step 4: Simplify right side
    4,932.50x = 9,135,634.37
  5. Step 5: Solve for x
    x = 9,135,634.37/4,932.50
  6. Step 6: Final answer
    x = 1,852.13

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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.