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Finding the Fourth Proportional to 6,486.57, 8,953.27 and 3,835.44

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Solution

The fourth proportional to 6,486.57, 8,953.27 and 3,835.44 is: 5,293.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,486.57 : 8,953.27 = 3,835.44 : x
  2. Step 2: Convert to fraction form
    6,486.57/8,953.27 = 3,835.44/x
  3. Step 3: Cross multiply
    6,486.57x = 8,953.27 × 3,835.44
  4. Step 4: Simplify right side
    6,486.57x = 34,339,720.30
  5. Step 5: Solve for x
    x = 34,339,720.30/6,486.57
  6. Step 6: Final answer
    x = 5,293.97

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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.