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Finding the Fourth Proportional to 3,782.43, 5,217.18 and 3,468.74

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Solution

The fourth proportional to 3,782.43, 5,217.18 and 3,468.74 is: 4,784.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,782.43 : 5,217.18 = 3,468.74 : x
  2. Step 2: Convert to fraction form
    3,782.43/5,217.18 = 3,468.74/x
  3. Step 3: Cross multiply
    3,782.43x = 5,217.18 × 3,468.74
  4. Step 4: Simplify right side
    3,782.43x = 18,097,014.87
  5. Step 5: Solve for x
    x = 18,097,014.87/3,782.43
  6. Step 6: Final answer
    x = 4,784.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.