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Finding the Fourth Proportional to 3,464.55, 5,193.24 and 1,614.15

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Solution

The fourth proportional to 3,464.55, 5,193.24 and 1,614.15 is: 2,419.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,464.55 : 5,193.24 = 1,614.15 : x
  2. Step 2: Convert to fraction form
    3,464.55/5,193.24 = 1,614.15/x
  3. Step 3: Cross multiply
    3,464.55x = 5,193.24 × 1,614.15
  4. Step 4: Simplify right side
    3,464.55x = 8,382,668.35
  5. Step 5: Solve for x
    x = 8,382,668.35/3,464.55
  6. Step 6: Final answer
    x = 2,419.55

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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.