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Finding the Fourth Proportional to 5,208.45, 7,185.87 and 2,968.71

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Solution

The fourth proportional to 5,208.45, 7,185.87 and 2,968.71 is: 4,095.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,208.45 : 7,185.87 = 2,968.71 : x
  2. Step 2: Convert to fraction form
    5,208.45/7,185.87 = 2,968.71/x
  3. Step 3: Cross multiply
    5,208.45x = 7,185.87 × 2,968.71
  4. Step 4: Simplify right side
    5,208.45x = 21,332,775.26
  5. Step 5: Solve for x
    x = 21,332,775.26/5,208.45
  6. Step 6: Final answer
    x = 4,095.80

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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.