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Finding the Fourth Proportional to 3,286.72, 4,536.84 and 2,897.92

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Solution

The fourth proportional to 3,286.72, 4,536.84 and 2,897.92 is: 4,000.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,286.72 : 4,536.84 = 2,897.92 : x
  2. Step 2: Convert to fraction form
    3,286.72/4,536.84 = 2,897.92/x
  3. Step 3: Cross multiply
    3,286.72x = 4,536.84 × 2,897.92
  4. Step 4: Simplify right side
    3,286.72x = 13,147,399.37
  5. Step 5: Solve for x
    x = 13,147,399.37/3,286.72
  6. Step 6: Final answer
    x = 4,000.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.