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Finding the Fourth Proportional to 3,785.94, 5,224.71 and 2,084.51

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Solution

The fourth proportional to 3,785.94, 5,224.71 and 2,084.51 is: 2,876.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,785.94 : 5,224.71 = 2,084.51 : x
  2. Step 2: Convert to fraction form
    3,785.94/5,224.71 = 2,084.51/x
  3. Step 3: Cross multiply
    3,785.94x = 5,224.71 × 2,084.51
  4. Step 4: Simplify right side
    3,785.94x = 10,890,960.24
  5. Step 5: Solve for x
    x = 10,890,960.24/3,785.94
  6. Step 6: Final answer
    x = 2,876.69

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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.