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Finding the Fourth Proportional to 5,898.30, 8,139.64 and 3,380.42

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Solution

The fourth proportional to 5,898.30, 8,139.64 and 3,380.42 is: 4,664.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,898.30 : 8,139.64 = 3,380.42 : x
  2. Step 2: Convert to fraction form
    5,898.30/8,139.64 = 3,380.42/x
  3. Step 3: Cross multiply
    5,898.30x = 8,139.64 × 3,380.42
  4. Step 4: Simplify right side
    5,898.30x = 27,515,401.85
  5. Step 5: Solve for x
    x = 27,515,401.85/5,898.30
  6. Step 6: Final answer
    x = 4,664.97

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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.