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Finding the Fourth Proportional to 4,942.31, 7,378.20 and 4,769.30

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Solution

The fourth proportional to 4,942.31, 7,378.20 and 4,769.30 is: 7,119.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,942.31 : 7,378.20 = 4,769.30 : x
  2. Step 2: Convert to fraction form
    4,942.31/7,378.20 = 4,769.30/x
  3. Step 3: Cross multiply
    4,942.31x = 7,378.20 × 4,769.30
  4. Step 4: Simplify right side
    4,942.31x = 35,188,812.37
  5. Step 5: Solve for x
    x = 35,188,812.37/4,942.31
  6. Step 6: Final answer
    x = 7,119.92

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.