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Finding the Fourth Proportional to 3,705.22, 5,114.49 and 2,133.94

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Solution

The fourth proportional to 3,705.22, 5,114.49 and 2,133.94 is: 2,945.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,705.22 : 5,114.49 = 2,133.94 : x
  2. Step 2: Convert to fraction form
    3,705.22/5,114.49 = 2,133.94/x
  3. Step 3: Cross multiply
    3,705.22x = 5,114.49 × 2,133.94
  4. Step 4: Simplify right side
    3,705.22x = 10,914,014.79
  5. Step 5: Solve for x
    x = 10,914,014.79/3,705.22
  6. Step 6: Final answer
    x = 2,945.58

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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.