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Finding the Fourth Proportional to 3,742.51, 5,163.83 and 2,149.06

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Solution

The fourth proportional to 3,742.51, 5,163.83 and 2,149.06 is: 2,965.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,742.51 : 5,163.83 = 2,149.06 : x
  2. Step 2: Convert to fraction form
    3,742.51/5,163.83 = 2,149.06/x
  3. Step 3: Cross multiply
    3,742.51x = 5,163.83 × 2,149.06
  4. Step 4: Simplify right side
    3,742.51x = 11,097,356.84
  5. Step 5: Solve for x
    x = 11,097,356.84/3,742.51
  6. Step 6: Final answer
    x = 2,965.22

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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.