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Finding the Fourth Proportional to 3,232.09, 4,837.20 and 2,000.35

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Solution

The fourth proportional to 3,232.09, 4,837.20 and 2,000.35 is: 2,993.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,232.09 : 4,837.20 = 2,000.35 : x
  2. Step 2: Convert to fraction form
    3,232.09/4,837.20 = 2,000.35/x
  3. Step 3: Cross multiply
    3,232.09x = 4,837.20 × 2,000.35
  4. Step 4: Simplify right side
    3,232.09x = 9,676,093.02
  5. Step 5: Solve for x
    x = 9,676,093.02/3,232.09
  6. Step 6: Final answer
    x = 2,993.76

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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.