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Finding the Fourth Proportional to 4,486.69, 6,729.52 and 1,200.11

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Solution

The fourth proportional to 4,486.69, 6,729.52 and 1,200.11 is: 1,800.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,486.69 : 6,729.52 = 1,200.11 : x
  2. Step 2: Convert to fraction form
    4,486.69/6,729.52 = 1,200.11/x
  3. Step 3: Cross multiply
    4,486.69x = 6,729.52 × 1,200.11
  4. Step 4: Simplify right side
    4,486.69x = 8,076,164.25
  5. Step 5: Solve for x
    x = 8,076,164.25/4,486.69
  6. Step 6: Final answer
    x = 1,800.03

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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.