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Finding the Fourth Proportional to 4,078.58, 5,629.77 and 3,721.77

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Solution

The fourth proportional to 4,078.58, 5,629.77 and 3,721.77 is: 5,137.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,078.58 : 5,629.77 = 3,721.77 : x
  2. Step 2: Convert to fraction form
    4,078.58/5,629.77 = 3,721.77/x
  3. Step 3: Cross multiply
    4,078.58x = 5,629.77 × 3,721.77
  4. Step 4: Simplify right side
    4,078.58x = 20,952,709.09
  5. Step 5: Solve for x
    x = 20,952,709.09/4,078.58
  6. Step 6: Final answer
    x = 5,137.26

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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.