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Finding the Fourth Proportional to 3,841.13, 5,762.00 and 1,892.27

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Solution

The fourth proportional to 3,841.13, 5,762.00 and 1,892.27 is: 2,838.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,841.13 : 5,762.00 = 1,892.27 : x
  2. Step 2: Convert to fraction form
    3,841.13/5,762.00 = 1,892.27/x
  3. Step 3: Cross multiply
    3,841.13x = 5,762.00 × 1,892.27
  4. Step 4: Simplify right side
    3,841.13x = 10,903,278.88
  5. Step 5: Solve for x
    x = 10,903,278.88/3,841.13
  6. Step 6: Final answer
    x = 2,838.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.