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Finding the Fourth Proportional to 4,201.48, 5,797.74 and 2,629

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Solution

The fourth proportional to 4,201.48, 5,797.74 and 2,629 is: 3,627.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,201.48 : 5,797.74 = 2,629 : x
  2. Step 2: Convert to fraction form
    4,201.48/5,797.74 = 2,629/x
  3. Step 3: Cross multiply
    4,201.48x = 5,797.74 × 2,629
  4. Step 4: Simplify right side
    4,201.48x = 15,242,258.46
  5. Step 5: Solve for x
    x = 15,242,258.46/4,201.48
  6. Step 6: Final answer
    x = 3,627.83

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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.