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Finding the Fourth Proportional to 3,762.69, 5,192.66 and 2,084.06

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Solution

The fourth proportional to 3,762.69, 5,192.66 and 2,084.06 is: 2,876.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,762.69 : 5,192.66 = 2,084.06 : x
  2. Step 2: Convert to fraction form
    3,762.69/5,192.66 = 2,084.06/x
  3. Step 3: Cross multiply
    3,762.69x = 5,192.66 × 2,084.06
  4. Step 4: Simplify right side
    3,762.69x = 10,821,817.58
  5. Step 5: Solve for x
    x = 10,821,817.58/3,762.69
  6. Step 6: Final answer
    x = 2,876.08

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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.