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Finding the Fourth Proportional to 4,777.23, 7,167.14 and 2,002.44

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Solution

The fourth proportional to 4,777.23, 7,167.14 and 2,002.44 is: 3,004.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,777.23 : 7,167.14 = 2,002.44 : x
  2. Step 2: Convert to fraction form
    4,777.23/7,167.14 = 2,002.44/x
  3. Step 3: Cross multiply
    4,777.23x = 7,167.14 × 2,002.44
  4. Step 4: Simplify right side
    4,777.23x = 14,351,757.81
  5. Step 5: Solve for x
    x = 14,351,757.81/4,777.23
  6. Step 6: Final answer
    x = 3,004.20

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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.