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Finding the Fourth Proportional to 3,814.86, 5,723.22 and 1,182.30

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Solution

The fourth proportional to 3,814.86, 5,723.22 and 1,182.30 is: 1,773.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,814.86 : 5,723.22 = 1,182.30 : x
  2. Step 2: Convert to fraction form
    3,814.86/5,723.22 = 1,182.30/x
  3. Step 3: Cross multiply
    3,814.86x = 5,723.22 × 1,182.30
  4. Step 4: Simplify right side
    3,814.86x = 6,766,563.01
  5. Step 5: Solve for x
    x = 6,766,563.01/3,814.86
  6. Step 6: Final answer
    x = 1,773.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.