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Finding the Fourth Proportional to 5,048.73, 6,968.16 and 4,208.09

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Solution

The fourth proportional to 5,048.73, 6,968.16 and 4,208.09 is: 5,807.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,048.73 : 6,968.16 = 4,208.09 : x
  2. Step 2: Convert to fraction form
    5,048.73/6,968.16 = 4,208.09/x
  3. Step 3: Cross multiply
    5,048.73x = 6,968.16 × 4,208.09
  4. Step 4: Simplify right side
    5,048.73x = 29,322,609.57
  5. Step 5: Solve for x
    x = 29,322,609.57/5,048.73
  6. Step 6: Final answer
    x = 5,807.92

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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.