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Finding the Fourth Proportional to 3,455.70, 5,184.36 and 1,992.84

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Solution

The fourth proportional to 3,455.70, 5,184.36 and 1,992.84 is: 2,989.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,455.70 : 5,184.36 = 1,992.84 : x
  2. Step 2: Convert to fraction form
    3,455.70/5,184.36 = 1,992.84/x
  3. Step 3: Cross multiply
    3,455.70x = 5,184.36 × 1,992.84
  4. Step 4: Simplify right side
    3,455.70x = 10,331,599.98
  5. Step 5: Solve for x
    x = 10,331,599.98/3,455.70
  6. Step 6: Final answer
    x = 2,989.73

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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.