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Finding the Fourth Proportional to 3,491.22, 4,820.14 and 2,166.86

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Solution

The fourth proportional to 3,491.22, 4,820.14 and 2,166.86 is: 2,991.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,491.22 : 4,820.14 = 2,166.86 : x
  2. Step 2: Convert to fraction form
    3,491.22/4,820.14 = 2,166.86/x
  3. Step 3: Cross multiply
    3,491.22x = 4,820.14 × 2,166.86
  4. Step 4: Simplify right side
    3,491.22x = 10,444,568.56
  5. Step 5: Solve for x
    x = 10,444,568.56/3,491.22
  6. Step 6: Final answer
    x = 2,991.67

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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.