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Finding the Fourth Proportional to 3,970.41, 5,954.40 and 2,745.69

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Solution

The fourth proportional to 3,970.41, 5,954.40 and 2,745.69 is: 4,117.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,970.41 : 5,954.40 = 2,745.69 : x
  2. Step 2: Convert to fraction form
    3,970.41/5,954.40 = 2,745.69/x
  3. Step 3: Cross multiply
    3,970.41x = 5,954.40 × 2,745.69
  4. Step 4: Simplify right side
    3,970.41x = 16,348,936.54
  5. Step 5: Solve for x
    x = 16,348,936.54/3,970.41
  6. Step 6: Final answer
    x = 4,117.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.