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Finding the Fourth Proportional to 3,729.65, 5,147.05 and 2,051.12

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Solution

The fourth proportional to 3,729.65, 5,147.05 and 2,051.12 is: 2,830.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,729.65 : 5,147.05 = 2,051.12 : x
  2. Step 2: Convert to fraction form
    3,729.65/5,147.05 = 2,051.12/x
  3. Step 3: Cross multiply
    3,729.65x = 5,147.05 × 2,051.12
  4. Step 4: Simplify right side
    3,729.65x = 10,557,224.94
  5. Step 5: Solve for x
    x = 10,557,224.94/3,729.65
  6. Step 6: Final answer
    x = 2,830.62

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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.