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Finding the Fourth Proportional to 3,762.86, 5,192.51 and 2,084.33

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Solution

The fourth proportional to 3,762.86, 5,192.51 and 2,084.33 is: 2,876.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,762.86 : 5,192.51 = 2,084.33 : x
  2. Step 2: Convert to fraction form
    3,762.86/5,192.51 = 2,084.33/x
  3. Step 3: Cross multiply
    3,762.86x = 5,192.51 × 2,084.33
  4. Step 4: Simplify right side
    3,762.86x = 10,822,906.93
  5. Step 5: Solve for x
    x = 10,822,906.93/3,762.86
  6. Step 6: Final answer
    x = 2,876.25

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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.