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Finding the Fourth Proportional to 5,186.95, 7,158 and 2,829.09

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Solution

The fourth proportional to 5,186.95, 7,158 and 2,829.09 is: 3,904.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,186.95 : 7,158 = 2,829.09 : x
  2. Step 2: Convert to fraction form
    5,186.95/7,158 = 2,829.09/x
  3. Step 3: Cross multiply
    5,186.95x = 7,158 × 2,829.09
  4. Step 4: Simplify right side
    5,186.95x = 20,250,626.22
  5. Step 5: Solve for x
    x = 20,250,626.22/5,186.95
  6. Step 6: Final answer
    x = 3,904.15

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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.