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Finding the Fourth Proportional to 5,382.89, 8,075.87 and 2,096.93

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Solution

The fourth proportional to 5,382.89, 8,075.87 and 2,096.93 is: 3,145.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,382.89 : 8,075.87 = 2,096.93 : x
  2. Step 2: Convert to fraction form
    5,382.89/8,075.87 = 2,096.93/x
  3. Step 3: Cross multiply
    5,382.89x = 8,075.87 × 2,096.93
  4. Step 4: Simplify right side
    5,382.89x = 16,934,506.22
  5. Step 5: Solve for x
    x = 16,934,506.22/5,382.89
  6. Step 6: Final answer
    x = 3,145.99

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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.