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Finding the Fourth Proportional to 5,255.27, 7,880.22 and 1,744.02

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Solution

The fourth proportional to 5,255.27, 7,880.22 and 1,744.02 is: 2,615.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,255.27 : 7,880.22 = 1,744.02 : x
  2. Step 2: Convert to fraction form
    5,255.27/7,880.22 = 1,744.02/x
  3. Step 3: Cross multiply
    5,255.27x = 7,880.22 × 1,744.02
  4. Step 4: Simplify right side
    5,255.27x = 13,743,261.28
  5. Step 5: Solve for x
    x = 13,743,261.28/5,255.27
  6. Step 6: Final answer
    x = 2,615.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.