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Finding the Fourth Proportional to 3,911.77, 5,853.63 and 3,136.75

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Solution

The fourth proportional to 3,911.77, 5,853.63 and 3,136.75 is: 4,693.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,911.77 : 5,853.63 = 3,136.75 : x
  2. Step 2: Convert to fraction form
    3,911.77/5,853.63 = 3,136.75/x
  3. Step 3: Cross multiply
    3,911.77x = 5,853.63 × 3,136.75
  4. Step 4: Simplify right side
    3,911.77x = 18,361,373.90
  5. Step 5: Solve for x
    x = 18,361,373.90/3,911.77
  6. Step 6: Final answer
    x = 4,693.88

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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.