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Finding the Fourth Proportional to 5,204.26, 7,809 and 2,282.58

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Solution

The fourth proportional to 5,204.26, 7,809 and 2,282.58 is: 3,425.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,204.26 : 7,809 = 2,282.58 : x
  2. Step 2: Convert to fraction form
    5,204.26/7,809 = 2,282.58/x
  3. Step 3: Cross multiply
    5,204.26x = 7,809 × 2,282.58
  4. Step 4: Simplify right side
    5,204.26x = 17,824,667.22
  5. Step 5: Solve for x
    x = 17,824,667.22/5,204.26
  6. Step 6: Final answer
    x = 3,425.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.