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Finding the Fourth Proportional to 3,911.53, 5,397.99 and 2,419.42

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Solution

The fourth proportional to 3,911.53, 5,397.99 and 2,419.42 is: 3,338.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,911.53 : 5,397.99 = 2,419.42 : x
  2. Step 2: Convert to fraction form
    3,911.53/5,397.99 = 2,419.42/x
  3. Step 3: Cross multiply
    3,911.53x = 5,397.99 × 2,419.42
  4. Step 4: Simplify right side
    3,911.53x = 13,060,004.97
  5. Step 5: Solve for x
    x = 13,060,004.97/3,911.53
  6. Step 6: Final answer
    x = 3,338.85

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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.