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Finding the Fourth Proportional to 3,771.44, 5,630.98 and 3,538.16

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Solution

The fourth proportional to 3,771.44, 5,630.98 and 3,538.16 is: 5,282.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,771.44 : 5,630.98 = 3,538.16 : x
  2. Step 2: Convert to fraction form
    3,771.44/5,630.98 = 3,538.16/x
  3. Step 3: Cross multiply
    3,771.44x = 5,630.98 × 3,538.16
  4. Step 4: Simplify right side
    3,771.44x = 19,923,308.20
  5. Step 5: Solve for x
    x = 19,923,308.20/3,771.44
  6. Step 6: Final answer
    x = 5,282.68

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.