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Finding the Fourth Proportional to 4,827.66, 6,662.94 and 2,838.70

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Solution

The fourth proportional to 4,827.66, 6,662.94 and 2,838.70 is: 3,917.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,827.66 : 6,662.94 = 2,838.70 : x
  2. Step 2: Convert to fraction form
    4,827.66/6,662.94 = 2,838.70/x
  3. Step 3: Cross multiply
    4,827.66x = 6,662.94 × 2,838.70
  4. Step 4: Simplify right side
    4,827.66x = 18,914,087.78
  5. Step 5: Solve for x
    x = 18,914,087.78/4,827.66
  6. Step 6: Final answer
    x = 3,917.86

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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.