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Finding the Fourth Proportional to 4,491.44, 6,194.52 and 3,770.84

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Solution

The fourth proportional to 4,491.44, 6,194.52 and 3,770.84 is: 5,200.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,491.44 : 6,194.52 = 3,770.84 : x
  2. Step 2: Convert to fraction form
    4,491.44/6,194.52 = 3,770.84/x
  3. Step 3: Cross multiply
    4,491.44x = 6,194.52 × 3,770.84
  4. Step 4: Simplify right side
    4,491.44x = 23,358,543.80
  5. Step 5: Solve for x
    x = 23,358,543.80/4,491.44
  6. Step 6: Final answer
    x = 5,200.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.