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Finding the Fourth Proportional to 3,093.22, 4,639.83 and 901.90

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Solution

The fourth proportional to 3,093.22, 4,639.83 and 901.90 is: 1,352.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,093.22 : 4,639.83 = 901.90 : x
  2. Step 2: Convert to fraction form
    3,093.22/4,639.83 = 901.90/x
  3. Step 3: Cross multiply
    3,093.22x = 4,639.83 × 901.90
  4. Step 4: Simplify right side
    3,093.22x = 4,184,662.68
  5. Step 5: Solve for x
    x = 4,184,662.68/3,093.22
  6. Step 6: Final answer
    x = 1,352.85

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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.