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Finding the Fourth Proportional to 5,546.82, 7,652.77 and 3,659.34

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Solution

The fourth proportional to 5,546.82, 7,652.77 and 3,659.34 is: 5,048.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,546.82 : 7,652.77 = 3,659.34 : x
  2. Step 2: Convert to fraction form
    5,546.82/7,652.77 = 3,659.34/x
  3. Step 3: Cross multiply
    5,546.82x = 7,652.77 × 3,659.34
  4. Step 4: Simplify right side
    5,546.82x = 28,004,069.08
  5. Step 5: Solve for x
    x = 28,004,069.08/5,546.82
  6. Step 6: Final answer
    x = 5,048.67

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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.