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Finding the Fourth Proportional to 3,762.26, 5,192.26 and 2,083.90

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Solution

The fourth proportional to 3,762.26, 5,192.26 and 2,083.90 is: 2,875.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,762.26 : 5,192.26 = 2,083.90 : x
  2. Step 2: Convert to fraction form
    3,762.26/5,192.26 = 2,083.90/x
  3. Step 3: Cross multiply
    3,762.26x = 5,192.26 × 2,083.90
  4. Step 4: Simplify right side
    3,762.26x = 10,820,150.61
  5. Step 5: Solve for x
    x = 10,820,150.61/3,762.26
  6. Step 6: Final answer
    x = 2,875.97

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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.