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Finding the Fourth Proportional to 3,496.41, 4,824.99 and 1,924.52

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Solution

The fourth proportional to 3,496.41, 4,824.99 and 1,924.52 is: 2,655.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,496.41 : 4,824.99 = 1,924.52 : x
  2. Step 2: Convert to fraction form
    3,496.41/4,824.99 = 1,924.52/x
  3. Step 3: Cross multiply
    3,496.41x = 4,824.99 × 1,924.52
  4. Step 4: Simplify right side
    3,496.41x = 9,285,765.63
  5. Step 5: Solve for x
    x = 9,285,765.63/3,496.41
  6. Step 6: Final answer
    x = 2,655.80

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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.