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Finding the Fourth Proportional to 3,162.06, 4,738.50 and 2,173.86

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Solution

The fourth proportional to 3,162.06, 4,738.50 and 2,173.86 is: 3,257.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,162.06 : 4,738.50 = 2,173.86 : x
  2. Step 2: Convert to fraction form
    3,162.06/4,738.50 = 2,173.86/x
  3. Step 3: Cross multiply
    3,162.06x = 4,738.50 × 2,173.86
  4. Step 4: Simplify right side
    3,162.06x = 10,300,835.61
  5. Step 5: Solve for x
    x = 10,300,835.61/3,162.06
  6. Step 6: Final answer
    x = 3,257.63

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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.