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Finding the Fourth Proportional to 5,309.26, 7,965.01 and 1,799.09

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Solution

The fourth proportional to 5,309.26, 7,965.01 and 1,799.09 is: 2,699.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,309.26 : 7,965.01 = 1,799.09 : x
  2. Step 2: Convert to fraction form
    5,309.26/7,965.01 = 1,799.09/x
  3. Step 3: Cross multiply
    5,309.26x = 7,965.01 × 1,799.09
  4. Step 4: Simplify right side
    5,309.26x = 14,329,769.84
  5. Step 5: Solve for x
    x = 14,329,769.84/5,309.26
  6. Step 6: Final answer
    x = 2,699.01

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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.