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Finding the Fourth Proportional to 3,191.36, 4,774.72 and 3,183.16

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Solution

The fourth proportional to 3,191.36, 4,774.72 and 3,183.16 is: 4,762.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,191.36 : 4,774.72 = 3,183.16 : x
  2. Step 2: Convert to fraction form
    3,191.36/4,774.72 = 3,183.16/x
  3. Step 3: Cross multiply
    3,191.36x = 4,774.72 × 3,183.16
  4. Step 4: Simplify right side
    3,191.36x = 15,198,697.72
  5. Step 5: Solve for x
    x = 15,198,697.72/3,191.36
  6. Step 6: Final answer
    x = 4,762.45

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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.