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Finding the Fourth Proportional to 4,873.60, 6,725.82 and 2,777.68

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Solution

The fourth proportional to 4,873.60, 6,725.82 and 2,777.68 is: 3,833.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,873.60 : 6,725.82 = 2,777.68 : x
  2. Step 2: Convert to fraction form
    4,873.60/6,725.82 = 2,777.68/x
  3. Step 3: Cross multiply
    4,873.60x = 6,725.82 × 2,777.68
  4. Step 4: Simplify right side
    4,873.60x = 18,682,175.70
  5. Step 5: Solve for x
    x = 18,682,175.70/4,873.60
  6. Step 6: Final answer
    x = 3,833.34

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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.