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Finding the Fourth Proportional to 3,686.67, 5,523.80 and 2,367.18

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Solution

The fourth proportional to 3,686.67, 5,523.80 and 2,367.18 is: 3,546.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,686.67 : 5,523.80 = 2,367.18 : x
  2. Step 2: Convert to fraction form
    3,686.67/5,523.80 = 2,367.18/x
  3. Step 3: Cross multiply
    3,686.67x = 5,523.80 × 2,367.18
  4. Step 4: Simplify right side
    3,686.67x = 13,075,817.05
  5. Step 5: Solve for x
    x = 13,075,817.05/3,686.67
  6. Step 6: Final answer
    x = 3,546.78

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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.