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Finding the Fourth Proportional to 6,335.07, 8,744.75 and 3,817.29

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Solution

The fourth proportional to 6,335.07, 8,744.75 and 3,817.29 is: 5,269.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,335.07 : 8,744.75 = 3,817.29 : x
  2. Step 2: Convert to fraction form
    6,335.07/8,744.75 = 3,817.29/x
  3. Step 3: Cross multiply
    6,335.07x = 8,744.75 × 3,817.29
  4. Step 4: Simplify right side
    6,335.07x = 33,381,227.64
  5. Step 5: Solve for x
    x = 33,381,227.64/6,335.07
  6. Step 6: Final answer
    x = 5,269.28

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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.