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Finding the Fourth Proportional to 5,711.80, 7,882.36 and 3,354

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Solution

The fourth proportional to 5,711.80, 7,882.36 and 3,354 is: 4,628.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,711.80 : 7,882.36 = 3,354 : x
  2. Step 2: Convert to fraction form
    5,711.80/7,882.36 = 3,354/x
  3. Step 3: Cross multiply
    5,711.80x = 7,882.36 × 3,354
  4. Step 4: Simplify right side
    5,711.80x = 26,437,435.44
  5. Step 5: Solve for x
    x = 26,437,435.44/5,711.80
  6. Step 6: Final answer
    x = 4,628.56

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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.