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Finding the Fourth Proportional to 3,389.56, 5,072.30 and 2,072.86

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Solution

The fourth proportional to 3,389.56, 5,072.30 and 2,072.86 is: 3,101.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,389.56 : 5,072.30 = 2,072.86 : x
  2. Step 2: Convert to fraction form
    3,389.56/5,072.30 = 2,072.86/x
  3. Step 3: Cross multiply
    3,389.56x = 5,072.30 × 2,072.86
  4. Step 4: Simplify right side
    3,389.56x = 10,514,167.78
  5. Step 5: Solve for x
    x = 10,514,167.78/3,389.56
  6. Step 6: Final answer
    x = 3,101.93

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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.