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Finding the Fourth Proportional to 3,771.54, 5,655.87 and 2,039.22

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Solution

The fourth proportional to 3,771.54, 5,655.87 and 2,039.22 is: 3,058.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,771.54 : 5,655.87 = 2,039.22 : x
  2. Step 2: Convert to fraction form
    3,771.54/5,655.87 = 2,039.22/x
  3. Step 3: Cross multiply
    3,771.54x = 5,655.87 × 2,039.22
  4. Step 4: Simplify right side
    3,771.54x = 11,533,563.22
  5. Step 5: Solve for x
    x = 11,533,563.22/3,771.54
  6. Step 6: Final answer
    x = 3,058.05

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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.