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Finding the Fourth Proportional to 5,382.72, 8,074.14 and 1,684.80

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Solution

The fourth proportional to 5,382.72, 8,074.14 and 1,684.80 is: 2,527.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,382.72 : 8,074.14 = 1,684.80 : x
  2. Step 2: Convert to fraction form
    5,382.72/8,074.14 = 1,684.80/x
  3. Step 3: Cross multiply
    5,382.72x = 8,074.14 × 1,684.80
  4. Step 4: Simplify right side
    5,382.72x = 13,603,311.07
  5. Step 5: Solve for x
    x = 13,603,311.07/5,382.72
  6. Step 6: Final answer
    x = 2,527.22

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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.