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Finding the Fourth Proportional to 4,869.12, 6,719.22 and 2,772.84

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Solution

The fourth proportional to 4,869.12, 6,719.22 and 2,772.84 is: 3,826.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,869.12 : 6,719.22 = 2,772.84 : x
  2. Step 2: Convert to fraction form
    4,869.12/6,719.22 = 2,772.84/x
  3. Step 3: Cross multiply
    4,869.12x = 6,719.22 × 2,772.84
  4. Step 4: Simplify right side
    4,869.12x = 18,631,321.98
  5. Step 5: Solve for x
    x = 18,631,321.98/4,869.12
  6. Step 6: Final answer
    x = 3,826.42

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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.