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Finding the Fourth Proportional to 4,827.50, 6,661.83 and 2,838.11

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Solution

The fourth proportional to 4,827.50, 6,661.83 and 2,838.11 is: 3,916.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,827.50 : 6,661.83 = 2,838.11 : x
  2. Step 2: Convert to fraction form
    4,827.50/6,661.83 = 2,838.11/x
  3. Step 3: Cross multiply
    4,827.50x = 6,661.83 × 2,838.11
  4. Step 4: Simplify right side
    4,827.50x = 18,906,973.03
  5. Step 5: Solve for x
    x = 18,906,973.03/4,827.50
  6. Step 6: Final answer
    x = 3,916.52

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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.