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Finding the Fourth Proportional to 5,563.84, 8,345.76 and 3,227.44

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Solution

The fourth proportional to 5,563.84, 8,345.76 and 3,227.44 is: 4,841.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,563.84 : 8,345.76 = 3,227.44 : x
  2. Step 2: Convert to fraction form
    5,563.84/8,345.76 = 3,227.44/x
  3. Step 3: Cross multiply
    5,563.84x = 8,345.76 × 3,227.44
  4. Step 4: Simplify right side
    5,563.84x = 26,935,439.65
  5. Step 5: Solve for x
    x = 26,935,439.65/5,563.84
  6. Step 6: Final answer
    x = 4,841.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.