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Finding the Fourth Proportional to 3,764.10, 5,642.06 and 2,120.22

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Solution

The fourth proportional to 3,764.10, 5,642.06 and 2,120.22 is: 3,178.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,764.10 : 5,642.06 = 2,120.22 : x
  2. Step 2: Convert to fraction form
    3,764.10/5,642.06 = 2,120.22/x
  3. Step 3: Cross multiply
    3,764.10x = 5,642.06 × 2,120.22
  4. Step 4: Simplify right side
    3,764.10x = 11,962,408.45
  5. Step 5: Solve for x
    x = 11,962,408.45/3,764.10
  6. Step 6: Final answer
    x = 3,178.03

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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.