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Finding the Fourth Proportional to 3,216.57, 4,832.16 and 2,123.07

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Solution

The fourth proportional to 3,216.57, 4,832.16 and 2,123.07 is: 3,189.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,216.57 : 4,832.16 = 2,123.07 : x
  2. Step 2: Convert to fraction form
    3,216.57/4,832.16 = 2,123.07/x
  3. Step 3: Cross multiply
    3,216.57x = 4,832.16 × 2,123.07
  4. Step 4: Simplify right side
    3,216.57x = 10,259,013.93
  5. Step 5: Solve for x
    x = 10,259,013.93/3,216.57
  6. Step 6: Final answer
    x = 3,189.43

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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.