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Finding the Fourth Proportional to 3,933.68, 5,428.68 and 2,361.84

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Solution

The fourth proportional to 3,933.68, 5,428.68 and 2,361.84 is: 3,259.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,933.68 : 5,428.68 = 2,361.84 : x
  2. Step 2: Convert to fraction form
    3,933.68/5,428.68 = 2,361.84/x
  3. Step 3: Cross multiply
    3,933.68x = 5,428.68 × 2,361.84
  4. Step 4: Simplify right side
    3,933.68x = 12,821,673.57
  5. Step 5: Solve for x
    x = 12,821,673.57/3,933.68
  6. Step 6: Final answer
    x = 3,259.46

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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.