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Finding the Fourth Proportional to 5,898.27, 8,139.67 and 3,245.74

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Solution

The fourth proportional to 5,898.27, 8,139.67 and 3,245.74 is: 4,479.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,898.27 : 8,139.67 = 3,245.74 : x
  2. Step 2: Convert to fraction form
    5,898.27/8,139.67 = 3,245.74/x
  3. Step 3: Cross multiply
    5,898.27x = 8,139.67 × 3,245.74
  4. Step 4: Simplify right side
    5,898.27x = 26,419,224.04
  5. Step 5: Solve for x
    x = 26,419,224.04/5,898.27
  6. Step 6: Final answer
    x = 4,479.15

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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.