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Finding the Fourth Proportional to 3,726.54, 5,142.54 and 2,025.02

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Solution

The fourth proportional to 3,726.54, 5,142.54 and 2,025.02 is: 2,794.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,726.54 : 5,142.54 = 2,025.02 : x
  2. Step 2: Convert to fraction form
    3,726.54/5,142.54 = 2,025.02/x
  3. Step 3: Cross multiply
    3,726.54x = 5,142.54 × 2,025.02
  4. Step 4: Simplify right side
    3,726.54x = 10,413,736.23
  5. Step 5: Solve for x
    x = 10,413,736.23/3,726.54
  6. Step 6: Final answer
    x = 2,794.48

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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.