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Finding the Fourth Proportional to 3,874.32, 5,339.25 and 3,033.63

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Solution

The fourth proportional to 3,874.32, 5,339.25 and 3,033.63 is: 4,180.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,874.32 : 5,339.25 = 3,033.63 : x
  2. Step 2: Convert to fraction form
    3,874.32/5,339.25 = 3,033.63/x
  3. Step 3: Cross multiply
    3,874.32x = 5,339.25 × 3,033.63
  4. Step 4: Simplify right side
    3,874.32x = 16,197,308.98
  5. Step 5: Solve for x
    x = 16,197,308.98/3,874.32
  6. Step 6: Final answer
    x = 4,180.68

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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.