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Finding the Fourth Proportional to 3,745.27, 5,168.44 and 2,152.00

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Solution

The fourth proportional to 3,745.27, 5,168.44 and 2,152.00 is: 2,969.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,745.27 : 5,168.44 = 2,152.00 : x
  2. Step 2: Convert to fraction form
    3,745.27/5,168.44 = 2,152.00/x
  3. Step 3: Cross multiply
    3,745.27x = 5,168.44 × 2,152.00
  4. Step 4: Simplify right side
    3,745.27x = 11,122,492.03
  5. Step 5: Solve for x
    x = 11,122,492.03/3,745.27
  6. Step 6: Final answer
    x = 2,969.74

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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.