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Finding the Fourth Proportional to 5,884.48, 8,119.68 and 3,400

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Solution

The fourth proportional to 5,884.48, 8,119.68 and 3,400 is: 4,691.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,884.48 : 8,119.68 = 3,400 : x
  2. Step 2: Convert to fraction form
    5,884.48/8,119.68 = 3,400/x
  3. Step 3: Cross multiply
    5,884.48x = 8,119.68 × 3,400
  4. Step 4: Simplify right side
    5,884.48x = 27,606,912
  5. Step 5: Solve for x
    x = 27,606,912/5,884.48
  6. Step 6: Final answer
    x = 4,691.48

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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.