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Finding the Fourth Proportional to 5,275.09, 7,912.71 and 1,379.50

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Solution

The fourth proportional to 5,275.09, 7,912.71 and 1,379.50 is: 2,069.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,275.09 : 7,912.71 = 1,379.50 : x
  2. Step 2: Convert to fraction form
    5,275.09/7,912.71 = 1,379.50/x
  3. Step 3: Cross multiply
    5,275.09x = 7,912.71 × 1,379.50
  4. Step 4: Simplify right side
    5,275.09x = 10,915,583.45
  5. Step 5: Solve for x
    x = 10,915,583.45/5,275.09
  6. Step 6: Final answer
    x = 2,069.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.