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Finding the Fourth Proportional to 3,243.08, 4,864.44 and 2,882

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Solution

The fourth proportional to 3,243.08, 4,864.44 and 2,882 is: 4,322.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,243.08 : 4,864.44 = 2,882 : x
  2. Step 2: Convert to fraction form
    3,243.08/4,864.44 = 2,882/x
  3. Step 3: Cross multiply
    3,243.08x = 4,864.44 × 2,882
  4. Step 4: Simplify right side
    3,243.08x = 14,019,316.08
  5. Step 5: Solve for x
    x = 14,019,316.08/3,243.08
  6. Step 6: Final answer
    x = 4,322.84

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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.