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Finding the Fourth Proportional to 3,729.90, 5,147.27 and 2,051.42

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Solution

The fourth proportional to 3,729.90, 5,147.27 and 2,051.42 is: 2,830.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,729.90 : 5,147.27 = 2,051.42 : x
  2. Step 2: Convert to fraction form
    3,729.90/5,147.27 = 2,051.42/x
  3. Step 3: Cross multiply
    3,729.90x = 5,147.27 × 2,051.42
  4. Step 4: Simplify right side
    3,729.90x = 10,559,221.98
  5. Step 5: Solve for x
    x = 10,559,221.98/3,729.90
  6. Step 6: Final answer
    x = 2,830.96

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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.