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Finding the Fourth Proportional to 3,465.71, 5,198.41 and 1,274.28

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Solution

The fourth proportional to 3,465.71, 5,198.41 and 1,274.28 is: 1,911.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,465.71 : 5,198.41 = 1,274.28 : x
  2. Step 2: Convert to fraction form
    3,465.71/5,198.41 = 1,274.28/x
  3. Step 3: Cross multiply
    3,465.71x = 5,198.41 × 1,274.28
  4. Step 4: Simplify right side
    3,465.71x = 6,624,226.71
  5. Step 5: Solve for x
    x = 6,624,226.71/3,465.71
  6. Step 6: Final answer
    x = 1,911.36

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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.