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Finding the Fourth Proportional to 5,375.69, 8,062.62 and 1,427.01

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Solution

The fourth proportional to 5,375.69, 8,062.62 and 1,427.01 is: 2,140.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,375.69 : 8,062.62 = 1,427.01 : x
  2. Step 2: Convert to fraction form
    5,375.69/8,062.62 = 1,427.01/x
  3. Step 3: Cross multiply
    5,375.69x = 8,062.62 × 1,427.01
  4. Step 4: Simplify right side
    5,375.69x = 11,505,439.37
  5. Step 5: Solve for x
    x = 11,505,439.37/5,375.69
  6. Step 6: Final answer
    x = 2,140.27

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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.