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Finding the Fourth Proportional to 2,914.74, 4,367.04 and 2,629.22

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Solution

The fourth proportional to 2,914.74, 4,367.04 and 2,629.22 is: 3,939.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,914.74 : 4,367.04 = 2,629.22 : x
  2. Step 2: Convert to fraction form
    2,914.74/4,367.04 = 2,629.22/x
  3. Step 3: Cross multiply
    2,914.74x = 4,367.04 × 2,629.22
  4. Step 4: Simplify right side
    2,914.74x = 11,481,887.07
  5. Step 5: Solve for x
    x = 11,481,887.07/2,914.74
  6. Step 6: Final answer
    x = 3,939.25

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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.