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Finding the Fourth Proportional to 3,675.26, 5,072.74 and 2,259.87

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Solution

The fourth proportional to 3,675.26, 5,072.74 and 2,259.87 is: 3,119.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,675.26 : 5,072.74 = 2,259.87 : x
  2. Step 2: Convert to fraction form
    3,675.26/5,072.74 = 2,259.87/x
  3. Step 3: Cross multiply
    3,675.26x = 5,072.74 × 2,259.87
  4. Step 4: Simplify right side
    3,675.26x = 11,463,708.27
  5. Step 5: Solve for x
    x = 11,463,708.27/3,675.26
  6. Step 6: Final answer
    x = 3,119.15

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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.