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Finding the Fourth Proportional to 4,873.64, 6,725.61 and 2,777.78

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Solution

The fourth proportional to 4,873.64, 6,725.61 and 2,777.78 is: 3,833.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,873.64 : 6,725.61 = 2,777.78 : x
  2. Step 2: Convert to fraction form
    4,873.64/6,725.61 = 2,777.78/x
  3. Step 3: Cross multiply
    4,873.64x = 6,725.61 × 2,777.78
  4. Step 4: Simplify right side
    4,873.64x = 18,682,264.95
  5. Step 5: Solve for x
    x = 18,682,264.95/4,873.64
  6. Step 6: Final answer
    x = 3,833.33

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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.