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Finding the Fourth Proportional to 4,561.92, 6,837.72 and 3,262.56

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Solution

The fourth proportional to 4,561.92, 6,837.72 and 3,262.56 is: 4,890.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,561.92 : 6,837.72 = 3,262.56 : x
  2. Step 2: Convert to fraction form
    4,561.92/6,837.72 = 3,262.56/x
  3. Step 3: Cross multiply
    4,561.92x = 6,837.72 × 3,262.56
  4. Step 4: Simplify right side
    4,561.92x = 22,308,471.76
  5. Step 5: Solve for x
    x = 22,308,471.76/4,561.92
  6. Step 6: Final answer
    x = 4,890.15

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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.