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Finding the Fourth Proportional to 5,309.51, 7,327.54 and 3,185.12

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Solution

The fourth proportional to 5,309.51, 7,327.54 and 3,185.12 is: 4,395.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,309.51 : 7,327.54 = 3,185.12 : x
  2. Step 2: Convert to fraction form
    5,309.51/7,327.54 = 3,185.12/x
  3. Step 3: Cross multiply
    5,309.51x = 7,327.54 × 3,185.12
  4. Step 4: Simplify right side
    5,309.51x = 23,339,104.56
  5. Step 5: Solve for x
    x = 23,339,104.56/5,309.51
  6. Step 6: Final answer
    x = 4,395.72

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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.