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Finding the Fourth Proportional to 3,756.09, 5,184.02 and 2,185.09

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Solution

The fourth proportional to 3,756.09, 5,184.02 and 2,185.09 is: 3,015.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,756.09 : 5,184.02 = 2,185.09 : x
  2. Step 2: Convert to fraction form
    3,756.09/5,184.02 = 2,185.09/x
  3. Step 3: Cross multiply
    3,756.09x = 5,184.02 × 2,185.09
  4. Step 4: Simplify right side
    3,756.09x = 11,327,550.26
  5. Step 5: Solve for x
    x = 11,327,550.26/3,756.09
  6. Step 6: Final answer
    x = 3,015.78

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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.