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Finding the Fourth Proportional to 5,017, 6,923.48 and 2,809

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Solution

The fourth proportional to 5,017, 6,923.48 and 2,809 is: 3,876.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,017 : 6,923.48 = 2,809 : x
  2. Step 2: Convert to fraction form
    5,017/6,923.48 = 2,809/x
  3. Step 3: Cross multiply
    5,017x = 6,923.48 × 2,809
  4. Step 4: Simplify right side
    5,017x = 19,448,055.32
  5. Step 5: Solve for x
    x = 19,448,055.32/5,017
  6. Step 6: Final answer
    x = 3,876.43

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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.