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Finding the Fourth Proportional to 3,620.84, 5,433.08 and 1,431.41

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Solution

The fourth proportional to 3,620.84, 5,433.08 and 1,431.41 is: 2,147.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,620.84 : 5,433.08 = 1,431.41 : x
  2. Step 2: Convert to fraction form
    3,620.84/5,433.08 = 1,431.41/x
  3. Step 3: Cross multiply
    3,620.84x = 5,433.08 × 1,431.41
  4. Step 4: Simplify right side
    3,620.84x = 7,776,930.72
  5. Step 5: Solve for x
    x = 7,776,930.72/3,620.84
  6. Step 6: Final answer
    x = 2,147.83

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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.