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Finding the Fourth Proportional to 3,890.34, 5,369.13 and 2,212.00

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Solution

The fourth proportional to 3,890.34, 5,369.13 and 2,212.00 is: 3,052.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,890.34 : 5,369.13 = 2,212.00 : x
  2. Step 2: Convert to fraction form
    3,890.34/5,369.13 = 2,212.00/x
  3. Step 3: Cross multiply
    3,890.34x = 5,369.13 × 2,212.00
  4. Step 4: Simplify right side
    3,890.34x = 11,876,526.13
  5. Step 5: Solve for x
    x = 11,876,526.13/3,890.34
  6. Step 6: Final answer
    x = 3,052.82

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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.