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Finding the Fourth Proportional to 3,814.96, 5,722.97 and 1,182.68

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Solution

The fourth proportional to 3,814.96, 5,722.97 and 1,182.68 is: 1,774.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,814.96 : 5,722.97 = 1,182.68 : x
  2. Step 2: Convert to fraction form
    3,814.96/5,722.97 = 1,182.68/x
  3. Step 3: Cross multiply
    3,814.96x = 5,722.97 × 1,182.68
  4. Step 4: Simplify right side
    3,814.96x = 6,768,436.25
  5. Step 5: Solve for x
    x = 6,768,436.25/3,814.96
  6. Step 6: Final answer
    x = 1,774.19

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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.