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Finding the Fourth Proportional to 3,899.62, 5,379.70 and 2,327.14

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Solution

The fourth proportional to 3,899.62, 5,379.70 and 2,327.14 is: 3,210.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,899.62 : 5,379.70 = 2,327.14 : x
  2. Step 2: Convert to fraction form
    3,899.62/5,379.70 = 2,327.14/x
  3. Step 3: Cross multiply
    3,899.62x = 5,379.70 × 2,327.14
  4. Step 4: Simplify right side
    3,899.62x = 12,519,315.06
  5. Step 5: Solve for x
    x = 12,519,315.06/3,899.62
  6. Step 6: Final answer
    x = 3,210.39

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Why These Related Problems?

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