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Finding the Fourth Proportional to 4,200.66, 5,797.36 and 2,629.26

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Solution

The fourth proportional to 4,200.66, 5,797.36 and 2,629.26 is: 3,628.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,200.66 : 5,797.36 = 2,629.26 : x
  2. Step 2: Convert to fraction form
    4,200.66/5,797.36 = 2,629.26/x
  3. Step 3: Cross multiply
    4,200.66x = 5,797.36 × 2,629.26
  4. Step 4: Simplify right side
    4,200.66x = 15,242,766.75
  5. Step 5: Solve for x
    x = 15,242,766.75/4,200.66
  6. Step 6: Final answer
    x = 3,628.66

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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.