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Finding the Fourth Proportional to 3,783.16, 5,670.60 and 3,233.67

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Solution

The fourth proportional to 3,783.16, 5,670.60 and 3,233.67 is: 4,846.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,783.16 : 5,670.60 = 3,233.67 : x
  2. Step 2: Convert to fraction form
    3,783.16/5,670.60 = 3,233.67/x
  3. Step 3: Cross multiply
    3,783.16x = 5,670.60 × 3,233.67
  4. Step 4: Simplify right side
    3,783.16x = 18,336,849.10
  5. Step 5: Solve for x
    x = 18,336,849.10/3,783.16
  6. Step 6: Final answer
    x = 4,846.97

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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.