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Finding the Fourth Proportional to 5,213.28, 7,191.92 and 3,004

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Solution

The fourth proportional to 5,213.28, 7,191.92 and 3,004 is: 4,144.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,213.28 : 7,191.92 = 3,004 : x
  2. Step 2: Convert to fraction form
    5,213.28/7,191.92 = 3,004/x
  3. Step 3: Cross multiply
    5,213.28x = 7,191.92 × 3,004
  4. Step 4: Simplify right side
    5,213.28x = 21,604,527.68
  5. Step 5: Solve for x
    x = 21,604,527.68/5,213.28
  6. Step 6: Final answer
    x = 4,144.13

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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.