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Finding the Fourth Proportional to 3,643.86, 5,457.68 and 3,169.27

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Solution

The fourth proportional to 3,643.86, 5,457.68 and 3,169.27 is: 4,746.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,643.86 : 5,457.68 = 3,169.27 : x
  2. Step 2: Convert to fraction form
    3,643.86/5,457.68 = 3,169.27/x
  3. Step 3: Cross multiply
    3,643.86x = 5,457.68 × 3,169.27
  4. Step 4: Simplify right side
    3,643.86x = 17,296,861.49
  5. Step 5: Solve for x
    x = 17,296,861.49/3,643.86
  6. Step 6: Final answer
    x = 4,746.85

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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.