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Finding the Fourth Proportional to 4,840.32, 6,679.63 and 2,744.44

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Solution

The fourth proportional to 4,840.32, 6,679.63 and 2,744.44 is: 3,787.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,840.32 : 6,679.63 = 2,744.44 : x
  2. Step 2: Convert to fraction form
    4,840.32/6,679.63 = 2,744.44/x
  3. Step 3: Cross multiply
    4,840.32x = 6,679.63 × 2,744.44
  4. Step 4: Simplify right side
    4,840.32x = 18,331,843.76
  5. Step 5: Solve for x
    x = 18,331,843.76/4,840.32
  6. Step 6: Final answer
    x = 3,787.32

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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.