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Finding the Fourth Proportional to 4,954.14, 7,433.65 and 1,992.46

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Solution

The fourth proportional to 4,954.14, 7,433.65 and 1,992.46 is: 2,989.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,954.14 : 7,433.65 = 1,992.46 : x
  2. Step 2: Convert to fraction form
    4,954.14/7,433.65 = 1,992.46/x
  3. Step 3: Cross multiply
    4,954.14x = 7,433.65 × 1,992.46
  4. Step 4: Simplify right side
    4,954.14x = 14,811,240.32
  5. Step 5: Solve for x
    x = 14,811,240.32/4,954.14
  6. Step 6: Final answer
    x = 2,989.67

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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.