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Finding the Fourth Proportional to 5,584.24, 7,706.26 and 3,100.24

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Solution

The fourth proportional to 5,584.24, 7,706.26 and 3,100.24 is: 4,278.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,584.24 : 7,706.26 = 3,100.24 : x
  2. Step 2: Convert to fraction form
    5,584.24/7,706.26 = 3,100.24/x
  3. Step 3: Cross multiply
    5,584.24x = 7,706.26 × 3,100.24
  4. Step 4: Simplify right side
    5,584.24x = 23,891,255.50
  5. Step 5: Solve for x
    x = 23,891,255.50/5,584.24
  6. Step 6: Final answer
    x = 4,278.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.