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Finding the Fourth Proportional to 6,257.82, 8,634.29 and 3,898.29

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Solution

The fourth proportional to 6,257.82, 8,634.29 and 3,898.29 is: 5,378.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,257.82 : 8,634.29 = 3,898.29 : x
  2. Step 2: Convert to fraction form
    6,257.82/8,634.29 = 3,898.29/x
  3. Step 3: Cross multiply
    6,257.82x = 8,634.29 × 3,898.29
  4. Step 4: Simplify right side
    6,257.82x = 33,658,946.87
  5. Step 5: Solve for x
    x = 33,658,946.87/6,257.82
  6. Step 6: Final answer
    x = 5,378.70

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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.