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Finding the Fourth Proportional to 4,933.31, 7,400.79 and 1,647.41

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Solution

The fourth proportional to 4,933.31, 7,400.79 and 1,647.41 is: 2,471.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,933.31 : 7,400.79 = 1,647.41 : x
  2. Step 2: Convert to fraction form
    4,933.31/7,400.79 = 1,647.41/x
  3. Step 3: Cross multiply
    4,933.31x = 7,400.79 × 1,647.41
  4. Step 4: Simplify right side
    4,933.31x = 12,192,135.45
  5. Step 5: Solve for x
    x = 12,192,135.45/4,933.31
  6. Step 6: Final answer
    x = 2,471.39

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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.