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Finding the Fourth Proportional to 5,047.34, 7,571.04 and 1,760.42

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Solution

The fourth proportional to 5,047.34, 7,571.04 and 1,760.42 is: 2,640.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,047.34 : 7,571.04 = 1,760.42 : x
  2. Step 2: Convert to fraction form
    5,047.34/7,571.04 = 1,760.42/x
  3. Step 3: Cross multiply
    5,047.34x = 7,571.04 × 1,760.42
  4. Step 4: Simplify right side
    5,047.34x = 13,328,163.58
  5. Step 5: Solve for x
    x = 13,328,163.58/5,047.34
  6. Step 6: Final answer
    x = 2,640.63

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1.5x scale

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.