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Finding the Fourth Proportional to 3,850.64, 5,745.74 and 3,615.54

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Solution

The fourth proportional to 3,850.64, 5,745.74 and 3,615.54 is: 5,394.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,850.64 : 5,745.74 = 3,615.54 : x
  2. Step 2: Convert to fraction form
    3,850.64/5,745.74 = 3,615.54/x
  3. Step 3: Cross multiply
    3,850.64x = 5,745.74 × 3,615.54
  4. Step 4: Simplify right side
    3,850.64x = 20,773,913.18
  5. Step 5: Solve for x
    x = 20,773,913.18/3,850.64
  6. Step 6: Final answer
    x = 5,394.93

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.