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Finding the Fourth Proportional to 4,471.96, 6,168.49 and 2,880.67

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Solution

The fourth proportional to 4,471.96, 6,168.49 and 2,880.67 is: 3,973.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,471.96 : 6,168.49 = 2,880.67 : x
  2. Step 2: Convert to fraction form
    4,471.96/6,168.49 = 2,880.67/x
  3. Step 3: Cross multiply
    4,471.96x = 6,168.49 × 2,880.67
  4. Step 4: Simplify right side
    4,471.96x = 17,769,384.09
  5. Step 5: Solve for x
    x = 17,769,384.09/4,471.96
  6. Step 6: Final answer
    x = 3,973.51

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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.