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Finding the Fourth Proportional to 5,382.94, 8,072.12 and 1,684.16

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Solution

The fourth proportional to 5,382.94, 8,072.12 and 1,684.16 is: 2,525.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,382.94 : 8,072.12 = 1,684.16 : x
  2. Step 2: Convert to fraction form
    5,382.94/8,072.12 = 1,684.16/x
  3. Step 3: Cross multiply
    5,382.94x = 8,072.12 × 1,684.16
  4. Step 4: Simplify right side
    5,382.94x = 13,594,741.62
  5. Step 5: Solve for x
    x = 13,594,741.62/5,382.94
  6. Step 6: Final answer
    x = 2,525.52

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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.