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Finding the Fourth Proportional to 4,621.86, 6,930.23 and 3,162.78

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Solution

The fourth proportional to 4,621.86, 6,930.23 and 3,162.78 is: 4,742.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,621.86 : 6,930.23 = 3,162.78 : x
  2. Step 2: Convert to fraction form
    4,621.86/6,930.23 = 3,162.78/x
  3. Step 3: Cross multiply
    4,621.86x = 6,930.23 × 3,162.78
  4. Step 4: Simplify right side
    4,621.86x = 21,918,777.03
  5. Step 5: Solve for x
    x = 21,918,777.03/4,621.86
  6. Step 6: Final answer
    x = 4,742.41

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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.