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Finding the Fourth Proportional to 5,178.70, 7,146.24 and 2,940.61

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Solution

The fourth proportional to 5,178.70, 7,146.24 and 2,940.61 is: 4,057.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,178.70 : 7,146.24 = 2,940.61 : x
  2. Step 2: Convert to fraction form
    5,178.70/7,146.24 = 2,940.61/x
  3. Step 3: Cross multiply
    5,178.70x = 7,146.24 × 2,940.61
  4. Step 4: Simplify right side
    5,178.70x = 21,014,304.81
  5. Step 5: Solve for x
    x = 21,014,304.81/5,178.70
  6. Step 6: Final answer
    x = 4,057.83

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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.