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Finding the Fourth Proportional to 3,873.75, 5,359.85 and 3,377.42

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Solution

The fourth proportional to 3,873.75, 5,359.85 and 3,377.42 is: 4,673.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,873.75 : 5,359.85 = 3,377.42 : x
  2. Step 2: Convert to fraction form
    3,873.75/5,359.85 = 3,377.42/x
  3. Step 3: Cross multiply
    3,873.75x = 5,359.85 × 3,377.42
  4. Step 4: Simplify right side
    3,873.75x = 18,102,486.43
  5. Step 5: Solve for x
    x = 18,102,486.43/3,873.75
  6. Step 6: Final answer
    x = 4,673.12

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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.