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Finding the Fourth Proportional to 5,186.97, 7,157.97 and 2,829.09

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Solution

The fourth proportional to 5,186.97, 7,157.97 and 2,829.09 is: 3,904.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,186.97 : 7,157.97 = 2,829.09 : x
  2. Step 2: Convert to fraction form
    5,186.97/7,157.97 = 2,829.09/x
  3. Step 3: Cross multiply
    5,186.97x = 7,157.97 × 2,829.09
  4. Step 4: Simplify right side
    5,186.97x = 20,250,541.35
  5. Step 5: Solve for x
    x = 20,250,541.35/5,186.97
  6. Step 6: Final answer
    x = 3,904.12

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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.