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Finding the Fourth Proportional to 4,874.82, 6,729.74 and 3,380.15

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Solution

The fourth proportional to 4,874.82, 6,729.74 and 3,380.15 is: 4,666.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,874.82 : 6,729.74 = 3,380.15 : x
  2. Step 2: Convert to fraction form
    4,874.82/6,729.74 = 3,380.15/x
  3. Step 3: Cross multiply
    4,874.82x = 6,729.74 × 3,380.15
  4. Step 4: Simplify right side
    4,874.82x = 22,747,480.11
  5. Step 5: Solve for x
    x = 22,747,480.11/4,874.82
  6. Step 6: Final answer
    x = 4,666.32

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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.