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Finding the Fourth Proportional to 3,496.28, 4,824.77 and 1,924.34

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Solution

The fourth proportional to 3,496.28, 4,824.77 and 1,924.34 is: 2,655.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,496.28 : 4,824.77 = 1,924.34 : x
  2. Step 2: Convert to fraction form
    3,496.28/4,824.77 = 1,924.34/x
  3. Step 3: Cross multiply
    3,496.28x = 4,824.77 × 1,924.34
  4. Step 4: Simplify right side
    3,496.28x = 9,284,464.16
  5. Step 5: Solve for x
    x = 9,284,464.16/3,496.28
  6. Step 6: Final answer
    x = 2,655.53

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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.