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Finding the Fourth Proportional to 3,496.72, 4,825.38 and 1,924.78

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Solution

The fourth proportional to 3,496.72, 4,825.38 and 1,924.78 is: 2,656.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,496.72 : 4,825.38 = 1,924.78 : x
  2. Step 2: Convert to fraction form
    3,496.72/4,825.38 = 1,924.78/x
  3. Step 3: Cross multiply
    3,496.72x = 4,825.38 × 1,924.78
  4. Step 4: Simplify right side
    3,496.72x = 9,287,794.92
  5. Step 5: Solve for x
    x = 9,287,794.92/3,496.72
  6. Step 6: Final answer
    x = 2,656.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.