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Finding the Fourth Proportional to 3,878.33, 5,355.89 and 3,315.53

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Solution

The fourth proportional to 3,878.33, 5,355.89 and 3,315.53 is: 4,578.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,878.33 : 5,355.89 = 3,315.53 : x
  2. Step 2: Convert to fraction form
    3,878.33/5,355.89 = 3,315.53/x
  3. Step 3: Cross multiply
    3,878.33x = 5,355.89 × 3,315.53
  4. Step 4: Simplify right side
    3,878.33x = 17,757,610.78
  5. Step 5: Solve for x
    x = 17,757,610.78/3,878.33
  6. Step 6: Final answer
    x = 4,578.67

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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.