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Finding the Fourth Proportional to 3,464.40, 5,198.40 and 1,516.80

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Solution

The fourth proportional to 3,464.40, 5,198.40 and 1,516.80 is: 2,275.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,464.40 : 5,198.40 = 1,516.80 : x
  2. Step 2: Convert to fraction form
    3,464.40/5,198.40 = 1,516.80/x
  3. Step 3: Cross multiply
    3,464.40x = 5,198.40 × 1,516.80
  4. Step 4: Simplify right side
    3,464.40x = 7,884,933.12
  5. Step 5: Solve for x
    x = 7,884,933.12/3,464.40
  6. Step 6: Final answer
    x = 2,275.99

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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.