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Finding the Fourth Proportional to 5,628.84, 7,765.92 and 3,269.31

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Solution

The fourth proportional to 5,628.84, 7,765.92 and 3,269.31 is: 4,510.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,628.84 : 7,765.92 = 3,269.31 : x
  2. Step 2: Convert to fraction form
    5,628.84/7,765.92 = 3,269.31/x
  3. Step 3: Cross multiply
    5,628.84x = 7,765.92 × 3,269.31
  4. Step 4: Simplify right side
    5,628.84x = 25,389,199.92
  5. Step 5: Solve for x
    x = 25,389,199.92/5,628.84
  6. Step 6: Final answer
    x = 4,510.56

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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.