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Finding the Fourth Proportional to 4,747.94, 6,549.41 and 2,858.21

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Solution

The fourth proportional to 4,747.94, 6,549.41 and 2,858.21 is: 3,942.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,747.94 : 6,549.41 = 2,858.21 : x
  2. Step 2: Convert to fraction form
    4,747.94/6,549.41 = 2,858.21/x
  3. Step 3: Cross multiply
    4,747.94x = 6,549.41 × 2,858.21
  4. Step 4: Simplify right side
    4,747.94x = 18,719,563.55
  5. Step 5: Solve for x
    x = 18,719,563.55/4,747.94
  6. Step 6: Final answer
    x = 3,942.67

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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.