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Finding the Fourth Proportional to 5,382.90, 8,071.92 and 1,684.26

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Solution

The fourth proportional to 5,382.90, 8,071.92 and 1,684.26 is: 2,525.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,382.90 : 8,071.92 = 1,684.26 : x
  2. Step 2: Convert to fraction form
    5,382.90/8,071.92 = 1,684.26/x
  3. Step 3: Cross multiply
    5,382.90x = 8,071.92 × 1,684.26
  4. Step 4: Simplify right side
    5,382.90x = 13,595,211.98
  5. Step 5: Solve for x
    x = 13,595,211.98/5,382.90
  6. Step 6: Final answer
    x = 2,525.63

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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.