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Finding the Fourth Proportional to 5,178.78, 7,147.47 and 2,940.19

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Solution

The fourth proportional to 5,178.78, 7,147.47 and 2,940.19 is: 4,057.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,178.78 : 7,147.47 = 2,940.19 : x
  2. Step 2: Convert to fraction form
    5,178.78/7,147.47 = 2,940.19/x
  3. Step 3: Cross multiply
    5,178.78x = 7,147.47 × 2,940.19
  4. Step 4: Simplify right side
    5,178.78x = 21,014,919.82
  5. Step 5: Solve for x
    x = 21,014,919.82/5,178.78
  6. Step 6: Final answer
    x = 4,057.89

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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.