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Finding the Fourth Proportional to 3,496.57, 4,825.23 and 1,924.63

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Solution

The fourth proportional to 3,496.57, 4,825.23 and 1,924.63 is: 2,655.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,496.57 : 4,825.23 = 1,924.63 : x
  2. Step 2: Convert to fraction form
    3,496.57/4,825.23 = 1,924.63/x
  3. Step 3: Cross multiply
    3,496.57x = 4,825.23 × 1,924.63
  4. Step 4: Simplify right side
    3,496.57x = 9,286,782.41
  5. Step 5: Solve for x
    x = 9,286,782.41/3,496.57
  6. Step 6: Final answer
    x = 2,655.97

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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.