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Finding the Fourth Proportional to 4,150.45, 5,733.24 and 3,855.22

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Solution

The fourth proportional to 4,150.45, 5,733.24 and 3,855.22 is: 5,325.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,150.45 : 5,733.24 = 3,855.22 : x
  2. Step 2: Convert to fraction form
    4,150.45/5,733.24 = 3,855.22/x
  3. Step 3: Cross multiply
    4,150.45x = 5,733.24 × 3,855.22
  4. Step 4: Simplify right side
    4,150.45x = 22,102,901.51
  5. Step 5: Solve for x
    x = 22,102,901.51/4,150.45
  6. Step 6: Final answer
    x = 5,325.42

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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.