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Finding the Fourth Proportional to 4,189.80, 6,284.70 and 4,027.80

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Solution

The fourth proportional to 4,189.80, 6,284.70 and 4,027.80 is: 6,041.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,189.80 : 6,284.70 = 4,027.80 : x
  2. Step 2: Convert to fraction form
    4,189.80/6,284.70 = 4,027.80/x
  3. Step 3: Cross multiply
    4,189.80x = 6,284.70 × 4,027.80
  4. Step 4: Simplify right side
    4,189.80x = 25,313,514.66
  5. Step 5: Solve for x
    x = 25,313,514.66/4,189.80
  6. Step 6: Final answer
    x = 6,041.70

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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.