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Finding the Fourth Proportional to 3,878.89, 5,352.08 and 3,745.54

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Solution

The fourth proportional to 3,878.89, 5,352.08 and 3,745.54 is: 5,168.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,878.89 : 5,352.08 = 3,745.54 : x
  2. Step 2: Convert to fraction form
    3,878.89/5,352.08 = 3,745.54/x
  3. Step 3: Cross multiply
    3,878.89x = 5,352.08 × 3,745.54
  4. Step 4: Simplify right side
    3,878.89x = 20,046,417.69
  5. Step 5: Solve for x
    x = 20,046,417.69/3,878.89
  6. Step 6: Final answer
    x = 5,168.08

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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.