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Finding the Fourth Proportional to 4,676.20, 6,999.90 and 3,841

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Solution

The fourth proportional to 4,676.20, 6,999.90 and 3,841 is: 5,749.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,676.20 : 6,999.90 = 3,841 : x
  2. Step 2: Convert to fraction form
    4,676.20/6,999.90 = 3,841/x
  3. Step 3: Cross multiply
    4,676.20x = 6,999.90 × 3,841
  4. Step 4: Simplify right side
    4,676.20x = 26,886,615.90
  5. Step 5: Solve for x
    x = 26,886,615.90/4,676.20
  6. Step 6: Final answer
    x = 5,749.67

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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.