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Finding the Fourth Proportional to 4,827.96, 6,662.62 and 2,838.56

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Solution

The fourth proportional to 4,827.96, 6,662.62 and 2,838.56 is: 3,917.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,827.96 : 6,662.62 = 2,838.56 : x
  2. Step 2: Convert to fraction form
    4,827.96/6,662.62 = 2,838.56/x
  3. Step 3: Cross multiply
    4,827.96x = 6,662.62 × 2,838.56
  4. Step 4: Simplify right side
    4,827.96x = 18,912,246.63
  5. Step 5: Solve for x
    x = 18,912,246.63/4,827.96
  6. Step 6: Final answer
    x = 3,917.23

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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.