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Finding the Fourth Proportional to 5,186.91, 7,157.94 and 2,829.06

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Solution

The fourth proportional to 5,186.91, 7,157.94 and 2,829.06 is: 3,904.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,186.91 : 7,157.94 = 2,829.06 : x
  2. Step 2: Convert to fraction form
    5,186.91/7,157.94 = 2,829.06/x
  3. Step 3: Cross multiply
    5,186.91x = 7,157.94 × 2,829.06
  4. Step 4: Simplify right side
    5,186.91x = 20,250,241.74
  5. Step 5: Solve for x
    x = 20,250,241.74/5,186.91
  6. Step 6: Final answer
    x = 3,904.11

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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.