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Finding the Fourth Proportional to 3,971.20, 5,485.60 and 3,051.20

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Solution

The fourth proportional to 3,971.20, 5,485.60 and 3,051.20 is: 4,214.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,971.20 : 5,485.60 = 3,051.20 : x
  2. Step 2: Convert to fraction form
    3,971.20/5,485.60 = 3,051.20/x
  3. Step 3: Cross multiply
    3,971.20x = 5,485.60 × 3,051.20
  4. Step 4: Simplify right side
    3,971.20x = 16,737,662.72
  5. Step 5: Solve for x
    x = 16,737,662.72/3,971.20
  6. Step 6: Final answer
    x = 4,214.76

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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.