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Finding the Fourth Proportional to 3,729.63, 5,147.37 and 2,157.69

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Solution

The fourth proportional to 3,729.63, 5,147.37 and 2,157.69 is: 2,977.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,729.63 : 5,147.37 = 2,157.69 : x
  2. Step 2: Convert to fraction form
    3,729.63/5,147.37 = 2,157.69/x
  3. Step 3: Cross multiply
    3,729.63x = 5,147.37 × 2,157.69
  4. Step 4: Simplify right side
    3,729.63x = 11,106,428.78
  5. Step 5: Solve for x
    x = 11,106,428.78/3,729.63
  6. Step 6: Final answer
    x = 2,977.89

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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.