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Finding the Fourth Proportional to 3,496.71, 4,825.46 and 1,924.81

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Solution

The fourth proportional to 3,496.71, 4,825.46 and 1,924.81 is: 2,656.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,496.71 : 4,825.46 = 1,924.81 : x
  2. Step 2: Convert to fraction form
    3,496.71/4,825.46 = 1,924.81/x
  3. Step 3: Cross multiply
    3,496.71x = 4,825.46 × 1,924.81
  4. Step 4: Simplify right side
    3,496.71x = 9,288,086.41
  5. Step 5: Solve for x
    x = 9,288,086.41/3,496.71
  6. Step 6: Final answer
    x = 2,656.23

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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.