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Finding the Fourth Proportional to 4,190.16, 5,777.16 and 3,072.72

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Solution

The fourth proportional to 4,190.16, 5,777.16 and 3,072.72 is: 4,236.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,190.16 : 5,777.16 = 3,072.72 : x
  2. Step 2: Convert to fraction form
    4,190.16/5,777.16 = 3,072.72/x
  3. Step 3: Cross multiply
    4,190.16x = 5,777.16 × 3,072.72
  4. Step 4: Simplify right side
    4,190.16x = 17,751,595.08
  5. Step 5: Solve for x
    x = 17,751,595.08/4,190.16
  6. Step 6: Final answer
    x = 4,236.50

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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.