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Finding the Fourth Proportional to 4,777.46, 7,168.55 and 2,146.79

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Solution

The fourth proportional to 4,777.46, 7,168.55 and 2,146.79 is: 3,221.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,777.46 : 7,168.55 = 2,146.79 : x
  2. Step 2: Convert to fraction form
    4,777.46/7,168.55 = 2,146.79/x
  3. Step 3: Cross multiply
    4,777.46x = 7,168.55 × 2,146.79
  4. Step 4: Simplify right side
    4,777.46x = 15,389,350.39
  5. Step 5: Solve for x
    x = 15,389,350.39/4,777.46
  6. Step 6: Final answer
    x = 3,221.24

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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.