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Finding the Fourth Proportional to 4,620.42, 6,930.63 and 2,769.23

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Solution

The fourth proportional to 4,620.42, 6,930.63 and 2,769.23 is: 4,153.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,620.42 : 6,930.63 = 2,769.23 : x
  2. Step 2: Convert to fraction form
    4,620.42/6,930.63 = 2,769.23/x
  3. Step 3: Cross multiply
    4,620.42x = 6,930.63 × 2,769.23
  4. Step 4: Simplify right side
    4,620.42x = 19,192,473.86
  5. Step 5: Solve for x
    x = 19,192,473.86/4,620.42
  6. Step 6: Final answer
    x = 4,153.84

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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.