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Finding the Fourth Proportional to 3,778.91, 5,643.65 and 3,217.64

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Solution

The fourth proportional to 3,778.91, 5,643.65 and 3,217.64 is: 4,805.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,778.91 : 5,643.65 = 3,217.64 : x
  2. Step 2: Convert to fraction form
    3,778.91/5,643.65 = 3,217.64/x
  3. Step 3: Cross multiply
    3,778.91x = 5,643.65 × 3,217.64
  4. Step 4: Simplify right side
    3,778.91x = 18,159,201.75
  5. Step 5: Solve for x
    x = 18,159,201.75/3,778.91
  6. Step 6: Final answer
    x = 4,805.40

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.