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Finding the Fourth Proportional to 4,650.44, 6,972.84 and 2,186

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Solution

The fourth proportional to 4,650.44, 6,972.84 and 2,186 is: 3,277.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,650.44 : 6,972.84 = 2,186 : x
  2. Step 2: Convert to fraction form
    4,650.44/6,972.84 = 2,186/x
  3. Step 3: Cross multiply
    4,650.44x = 6,972.84 × 2,186
  4. Step 4: Simplify right side
    4,650.44x = 15,242,628.24
  5. Step 5: Solve for x
    x = 15,242,628.24/4,650.44
  6. Step 6: Final answer
    x = 3,277.67

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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.