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Finding the Fourth Proportional to 5,380.70, 7,424.43 and 3,022.94

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Solution

The fourth proportional to 5,380.70, 7,424.43 and 3,022.94 is: 4,171.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,380.70 : 7,424.43 = 3,022.94 : x
  2. Step 2: Convert to fraction form
    5,380.70/7,424.43 = 3,022.94/x
  3. Step 3: Cross multiply
    5,380.70x = 7,424.43 × 3,022.94
  4. Step 4: Simplify right side
    5,380.70x = 22,443,606.42
  5. Step 5: Solve for x
    x = 22,443,606.42/5,380.70
  6. Step 6: Final answer
    x = 4,171.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.