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Finding the Fourth Proportional to 3,496.82, 4,825.58 and 1,924.88

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Solution

The fourth proportional to 3,496.82, 4,825.58 and 1,924.88 is: 2,656.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,496.82 : 4,825.58 = 1,924.88 : x
  2. Step 2: Convert to fraction form
    3,496.82/4,825.58 = 1,924.88/x
  3. Step 3: Cross multiply
    3,496.82x = 4,825.58 × 1,924.88
  4. Step 4: Simplify right side
    3,496.82x = 9,288,628.68
  5. Step 5: Solve for x
    x = 9,288,628.68/3,496.82
  6. Step 6: Final answer
    x = 2,656.31

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