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Finding the Fourth Proportional to 5,147.07, 7,720.67 and 1,449.42

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Solution

The fourth proportional to 5,147.07, 7,720.67 and 1,449.42 is: 2,174.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,147.07 : 7,720.67 = 1,449.42 : x
  2. Step 2: Convert to fraction form
    5,147.07/7,720.67 = 1,449.42/x
  3. Step 3: Cross multiply
    5,147.07x = 7,720.67 × 1,449.42
  4. Step 4: Simplify right side
    5,147.07x = 11,190,493.51
  5. Step 5: Solve for x
    x = 11,190,493.51/5,147.07
  6. Step 6: Final answer
    x = 2,174.15

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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.