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Finding the Fourth Proportional to 3,805.86, 5,706.10 and 1,463.90

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Solution

The fourth proportional to 3,805.86, 5,706.10 and 1,463.90 is: 2,194.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,805.86 : 5,706.10 = 1,463.90 : x
  2. Step 2: Convert to fraction form
    3,805.86/5,706.10 = 1,463.90/x
  3. Step 3: Cross multiply
    3,805.86x = 5,706.10 × 1,463.90
  4. Step 4: Simplify right side
    3,805.86x = 8,353,131.26
  5. Step 5: Solve for x
    x = 8,353,131.26/3,805.86
  6. Step 6: Final answer
    x = 2,194.81

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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.