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Finding the Fourth Proportional to 3,805.86, 5,250.06 and 2,314.23

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Solution

The fourth proportional to 3,805.86, 5,250.06 and 2,314.23 is: 3,192.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,805.86 : 5,250.06 = 2,314.23 : x
  2. Step 2: Convert to fraction form
    3,805.86/5,250.06 = 2,314.23/x
  3. Step 3: Cross multiply
    3,805.86x = 5,250.06 × 2,314.23
  4. Step 4: Simplify right side
    3,805.86x = 12,149,846.35
  5. Step 5: Solve for x
    x = 12,149,846.35/3,805.86
  6. Step 6: Final answer
    x = 3,192.40

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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.