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Finding the Fourth Proportional to 5,034.34, 6,946.63 and 2,796.23

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Solution

The fourth proportional to 5,034.34, 6,946.63 and 2,796.23 is: 3,858.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,034.34 : 6,946.63 = 2,796.23 : x
  2. Step 2: Convert to fraction form
    5,034.34/6,946.63 = 2,796.23/x
  3. Step 3: Cross multiply
    5,034.34x = 6,946.63 × 2,796.23
  4. Step 4: Simplify right side
    5,034.34x = 19,424,375.20
  5. Step 5: Solve for x
    x = 19,424,375.20/5,034.34
  6. Step 6: Final answer
    x = 3,858.38

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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.