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Finding the Fourth Proportional to 5,157.14, 7,729.36 and 2,034.01

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Solution

The fourth proportional to 5,157.14, 7,729.36 and 2,034.01 is: 3,048.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,157.14 : 7,729.36 = 2,034.01 : x
  2. Step 2: Convert to fraction form
    5,157.14/7,729.36 = 2,034.01/x
  3. Step 3: Cross multiply
    5,157.14x = 7,729.36 × 2,034.01
  4. Step 4: Simplify right side
    5,157.14x = 15,721,588.41
  5. Step 5: Solve for x
    x = 15,721,588.41/5,157.14
  6. Step 6: Final answer
    x = 3,048.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.