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Finding the Fourth Proportional to 5,147.37, 7,720.98 and 1,449.41

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Solution

The fourth proportional to 5,147.37, 7,720.98 and 1,449.41 is: 2,174.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,147.37 : 7,720.98 = 1,449.41 : x
  2. Step 2: Convert to fraction form
    5,147.37/7,720.98 = 1,449.41/x
  3. Step 3: Cross multiply
    5,147.37x = 7,720.98 × 1,449.41
  4. Step 4: Simplify right side
    5,147.37x = 11,190,827.02
  5. Step 5: Solve for x
    x = 11,190,827.02/5,147.37
  6. Step 6: Final answer
    x = 2,174.09

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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.