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Finding the Fourth Proportional to 3,491.52, 5,233 and 1,640.16

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Solution

The fourth proportional to 3,491.52, 5,233 and 1,640.16 is: 2,458.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,491.52 : 5,233 = 1,640.16 : x
  2. Step 2: Convert to fraction form
    3,491.52/5,233 = 1,640.16/x
  3. Step 3: Cross multiply
    3,491.52x = 5,233 × 1,640.16
  4. Step 4: Simplify right side
    3,491.52x = 8,582,957.28
  5. Step 5: Solve for x
    x = 8,582,957.28/3,491.52
  6. Step 6: Final answer
    x = 2,458.23

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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.