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Finding the Fourth Proportional to 3,830.62, 5,280.26 and 3,203.22

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Solution

The fourth proportional to 3,830.62, 5,280.26 and 3,203.22 is: 4,415.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,830.62 : 5,280.26 = 3,203.22 : x
  2. Step 2: Convert to fraction form
    3,830.62/5,280.26 = 3,203.22/x
  3. Step 3: Cross multiply
    3,830.62x = 5,280.26 × 3,203.22
  4. Step 4: Simplify right side
    3,830.62x = 16,913,834.44
  5. Step 5: Solve for x
    x = 16,913,834.44/3,830.62
  6. Step 6: Final answer
    x = 4,415.43

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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.