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Finding the Fourth Proportional to 4,449.90, 6,669.99 and 3,147.42

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Solution

The fourth proportional to 4,449.90, 6,669.99 and 3,147.42 is: 4,717.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,449.90 : 6,669.99 = 3,147.42 : x
  2. Step 2: Convert to fraction form
    4,449.90/6,669.99 = 3,147.42/x
  3. Step 3: Cross multiply
    4,449.90x = 6,669.99 × 3,147.42
  4. Step 4: Simplify right side
    4,449.90x = 20,993,259.93
  5. Step 5: Solve for x
    x = 20,993,259.93/4,449.90
  6. Step 6: Final answer
    x = 4,717.69

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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.