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Finding the Fourth Proportional to 4,147.79, 6,218.84 and 2,174.54

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Solution

The fourth proportional to 4,147.79, 6,218.84 and 2,174.54 is: 3,260.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,147.79 : 6,218.84 = 2,174.54 : x
  2. Step 2: Convert to fraction form
    4,147.79/6,218.84 = 2,174.54/x
  3. Step 3: Cross multiply
    4,147.79x = 6,218.84 × 2,174.54
  4. Step 4: Simplify right side
    4,147.79x = 13,523,090.68
  5. Step 5: Solve for x
    x = 13,523,090.68/4,147.79
  6. Step 6: Final answer
    x = 3,260.32

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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.