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Finding the Fourth Proportional to 4,644.48, 6,949.44 and 2,796.48

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Solution

The fourth proportional to 4,644.48, 6,949.44 and 2,796.48 is: 4,184.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,644.48 : 6,949.44 = 2,796.48 : x
  2. Step 2: Convert to fraction form
    4,644.48/6,949.44 = 2,796.48/x
  3. Step 3: Cross multiply
    4,644.48x = 6,949.44 × 2,796.48
  4. Step 4: Simplify right side
    4,644.48x = 19,433,969.97
  5. Step 5: Solve for x
    x = 19,433,969.97/4,644.48
  6. Step 6: Final answer
    x = 4,184.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.