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Finding the Fourth Proportional to 3,464.76, 5,199.78 and 1,274.04

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Solution

The fourth proportional to 3,464.76, 5,199.78 and 1,274.04 is: 1,912.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,464.76 : 5,199.78 = 1,274.04 : x
  2. Step 2: Convert to fraction form
    3,464.76/5,199.78 = 1,274.04/x
  3. Step 3: Cross multiply
    3,464.76x = 5,199.78 × 1,274.04
  4. Step 4: Simplify right side
    3,464.76x = 6,624,727.71
  5. Step 5: Solve for x
    x = 6,624,727.71/3,464.76
  6. Step 6: Final answer
    x = 1,912.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.