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Finding the Fourth Proportional to 3,224.92, 4,838.32 and 1,033.60

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Solution

The fourth proportional to 3,224.92, 4,838.32 and 1,033.60 is: 1,550.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,224.92 : 4,838.32 = 1,033.60 : x
  2. Step 2: Convert to fraction form
    3,224.92/4,838.32 = 1,033.60/x
  3. Step 3: Cross multiply
    3,224.92x = 4,838.32 × 1,033.60
  4. Step 4: Simplify right side
    3,224.92x = 5,000,887.55
  5. Step 5: Solve for x
    x = 5,000,887.55/3,224.92
  6. Step 6: Final answer
    x = 1,550.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.