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Finding the Fourth Proportional to 6,189.62, 8,544.57 and 4,200.26

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Solution

The fourth proportional to 6,189.62, 8,544.57 and 4,200.26 is: 5,798.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,189.62 : 8,544.57 = 4,200.26 : x
  2. Step 2: Convert to fraction form
    6,189.62/8,544.57 = 4,200.26/x
  3. Step 3: Cross multiply
    6,189.62x = 8,544.57 × 4,200.26
  4. Step 4: Simplify right side
    6,189.62x = 35,889,415.59
  5. Step 5: Solve for x
    x = 35,889,415.59/6,189.62
  6. Step 6: Final answer
    x = 5,798.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.