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Finding the Fourth Proportional to 3,919.34, 5,409.99 and 3,504.15

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Solution

The fourth proportional to 3,919.34, 5,409.99 and 3,504.15 is: 4,836.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,919.34 : 5,409.99 = 3,504.15 : x
  2. Step 2: Convert to fraction form
    3,919.34/5,409.99 = 3,504.15/x
  3. Step 3: Cross multiply
    3,919.34x = 5,409.99 × 3,504.15
  4. Step 4: Simplify right side
    3,919.34x = 18,957,416.46
  5. Step 5: Solve for x
    x = 18,957,416.46/3,919.34
  6. Step 6: Final answer
    x = 4,836.89

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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.