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Finding the Fourth Proportional to 4,843.80, 6,682.80 and 2,719

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Solution

The fourth proportional to 4,843.80, 6,682.80 and 2,719 is: 3,751.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,843.80 : 6,682.80 = 2,719 : x
  2. Step 2: Convert to fraction form
    4,843.80/6,682.80 = 2,719/x
  3. Step 3: Cross multiply
    4,843.80x = 6,682.80 × 2,719
  4. Step 4: Simplify right side
    4,843.80x = 18,170,533.20
  5. Step 5: Solve for x
    x = 18,170,533.20/4,843.80
  6. Step 6: Final answer
    x = 3,751.30

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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.