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Finding the Fourth Proportional to 6,404, 8,837.60 and 3,609.44

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Solution

The fourth proportional to 6,404, 8,837.60 and 3,609.44 is: 4,981.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,404 : 8,837.60 = 3,609.44 : x
  2. Step 2: Convert to fraction form
    6,404/8,837.60 = 3,609.44/x
  3. Step 3: Cross multiply
    6,404x = 8,837.60 × 3,609.44
  4. Step 4: Simplify right side
    6,404x = 31,898,786.94
  5. Step 5: Solve for x
    x = 31,898,786.94/6,404
  6. Step 6: Final answer
    x = 4,981.07

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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.