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Finding the Fourth Proportional to 5,309.39, 7,323.68 and 3,819.29

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Solution

The fourth proportional to 5,309.39, 7,323.68 and 3,819.29 is: 5,268.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,309.39 : 7,323.68 = 3,819.29 : x
  2. Step 2: Convert to fraction form
    5,309.39/7,323.68 = 3,819.29/x
  3. Step 3: Cross multiply
    5,309.39x = 7,323.68 × 3,819.29
  4. Step 4: Simplify right side
    5,309.39x = 27,971,202.07
  5. Step 5: Solve for x
    x = 27,971,202.07/5,309.39
  6. Step 6: Final answer
    x = 5,268.26

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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.