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Finding the Fourth Proportional to 5,179, 7,147.14 and 2,940.52

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Solution

The fourth proportional to 5,179, 7,147.14 and 2,940.52 is: 4,057.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,179 : 7,147.14 = 2,940.52 : x
  2. Step 2: Convert to fraction form
    5,179/7,147.14 = 2,940.52/x
  3. Step 3: Cross multiply
    5,179x = 7,147.14 × 2,940.52
  4. Step 4: Simplify right side
    5,179x = 21,016,308.11
  5. Step 5: Solve for x
    x = 21,016,308.11/5,179
  6. Step 6: Final answer
    x = 4,057.99

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Why These Related Problems?

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