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Finding the Fourth Proportional to 3,093.27, 4,639.45 and 901.41

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Solution

The fourth proportional to 3,093.27, 4,639.45 and 901.41 is: 1,351.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,093.27 : 4,639.45 = 901.41 : x
  2. Step 2: Convert to fraction form
    3,093.27/4,639.45 = 901.41/x
  3. Step 3: Cross multiply
    3,093.27x = 4,639.45 × 901.41
  4. Step 4: Simplify right side
    3,093.27x = 4,182,046.62
  5. Step 5: Solve for x
    x = 4,182,046.62/3,093.27
  6. Step 6: Final answer
    x = 1,351.98

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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.