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Finding the Fourth Proportional to 4,190, 6,276.03 and 2,209.37

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Solution

The fourth proportional to 4,190, 6,276.03 and 2,209.37 is: 3,309.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,190 : 6,276.03 = 2,209.37 : x
  2. Step 2: Convert to fraction form
    4,190/6,276.03 = 2,209.37/x
  3. Step 3: Cross multiply
    4,190x = 6,276.03 × 2,209.37
  4. Step 4: Simplify right side
    4,190x = 13,866,072.40
  5. Step 5: Solve for x
    x = 13,866,072.40/4,190
  6. Step 6: Final answer
    x = 3,309.33

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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.