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Finding the Fourth Proportional to 3,496.82, 4,825.64 and 1,924.94

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Solution

The fourth proportional to 3,496.82, 4,825.64 and 1,924.94 is: 2,656.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,496.82 : 4,825.64 = 1,924.94 : x
  2. Step 2: Convert to fraction form
    3,496.82/4,825.64 = 1,924.94/x
  3. Step 3: Cross multiply
    3,496.82x = 4,825.64 × 1,924.94
  4. Step 4: Simplify right side
    3,496.82x = 9,289,062.65
  5. Step 5: Solve for x
    x = 9,289,062.65/3,496.82
  6. Step 6: Final answer
    x = 2,656.44

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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.