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Finding the Fourth Proportional to 3,172.85, 4,380.29 and 1,914.21

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Solution

The fourth proportional to 3,172.85, 4,380.29 and 1,914.21 is: 2,642.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,172.85 : 4,380.29 = 1,914.21 : x
  2. Step 2: Convert to fraction form
    3,172.85/4,380.29 = 1,914.21/x
  3. Step 3: Cross multiply
    3,172.85x = 4,380.29 × 1,914.21
  4. Step 4: Simplify right side
    3,172.85x = 8,384,785.35
  5. Step 5: Solve for x
    x = 8,384,785.35/3,172.85
  6. Step 6: Final answer
    x = 2,642.67

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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.