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Finding the Fourth Proportional to 3,496.91, 5,245.27 and 1,646.97

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Solution

The fourth proportional to 3,496.91, 5,245.27 and 1,646.97 is: 2,470.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,496.91 : 5,245.27 = 1,646.97 : x
  2. Step 2: Convert to fraction form
    3,496.91/5,245.27 = 1,646.97/x
  3. Step 3: Cross multiply
    3,496.91x = 5,245.27 × 1,646.97
  4. Step 4: Simplify right side
    3,496.91x = 8,638,794.10
  5. Step 5: Solve for x
    x = 8,638,794.10/3,496.91
  6. Step 6: Final answer
    x = 2,470.41

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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.