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Finding the Fourth Proportional to 3,729.44, 5,146.70 and 2,051

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Solution

The fourth proportional to 3,729.44, 5,146.70 and 2,051 is: 2,830.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,729.44 : 5,146.70 = 2,051 : x
  2. Step 2: Convert to fraction form
    3,729.44/5,146.70 = 2,051/x
  3. Step 3: Cross multiply
    3,729.44x = 5,146.70 × 2,051
  4. Step 4: Simplify right side
    3,729.44x = 10,555,881.70
  5. Step 5: Solve for x
    x = 10,555,881.70/3,729.44
  6. Step 6: Final answer
    x = 2,830.42

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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.