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Finding the Fourth Proportional to 4,486.74, 6,729.59 and 1,200.09

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Solution

The fourth proportional to 4,486.74, 6,729.59 and 1,200.09 is: 1,799.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,486.74 : 6,729.59 = 1,200.09 : x
  2. Step 2: Convert to fraction form
    4,486.74/6,729.59 = 1,200.09/x
  3. Step 3: Cross multiply
    4,486.74x = 6,729.59 × 1,200.09
  4. Step 4: Simplify right side
    4,486.74x = 8,076,107.66
  5. Step 5: Solve for x
    x = 8,076,107.66/4,486.74
  6. Step 6: Final answer
    x = 1,799.99

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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.