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Finding the Fourth Proportional to 3,616.94, 5,425.13 and 1,425.69

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Solution

The fourth proportional to 3,616.94, 5,425.13 and 1,425.69 is: 2,138.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,616.94 : 5,425.13 = 1,425.69 : x
  2. Step 2: Convert to fraction form
    3,616.94/5,425.13 = 1,425.69/x
  3. Step 3: Cross multiply
    3,616.94x = 5,425.13 × 1,425.69
  4. Step 4: Simplify right side
    3,616.94x = 7,734,557.15
  5. Step 5: Solve for x
    x = 7,734,557.15/3,616.94
  6. Step 6: Final answer
    x = 2,138.42

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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.