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Finding the Fourth Proportional to 4,137.80, 6,206.58 and 1,364.60

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Solution

The fourth proportional to 4,137.80, 6,206.58 and 1,364.60 is: 2,046.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,137.80 : 6,206.58 = 1,364.60 : x
  2. Step 2: Convert to fraction form
    4,137.80/6,206.58 = 1,364.60/x
  3. Step 3: Cross multiply
    4,137.80x = 6,206.58 × 1,364.60
  4. Step 4: Simplify right side
    4,137.80x = 8,469,499.07
  5. Step 5: Solve for x
    x = 8,469,499.07/4,137.80
  6. Step 6: Final answer
    x = 2,046.86

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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.