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Finding the Fourth Proportional to 3,496.63, 4,825.44 and 1,924.82

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Solution

The fourth proportional to 3,496.63, 4,825.44 and 1,924.82 is: 2,656.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,496.63 : 4,825.44 = 1,924.82 : x
  2. Step 2: Convert to fraction form
    3,496.63/4,825.44 = 1,924.82/x
  3. Step 3: Cross multiply
    3,496.63x = 4,825.44 × 1,924.82
  4. Step 4: Simplify right side
    3,496.63x = 9,288,103.42
  5. Step 5: Solve for x
    x = 9,288,103.42/3,496.63
  6. Step 6: Final answer
    x = 2,656.30

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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.