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Finding the Fourth Proportional to 5,523.65, 8,286.87 and 1,628.06

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Solution

The fourth proportional to 5,523.65, 8,286.87 and 1,628.06 is: 2,442.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,523.65 : 8,286.87 = 1,628.06 : x
  2. Step 2: Convert to fraction form
    5,523.65/8,286.87 = 1,628.06/x
  3. Step 3: Cross multiply
    5,523.65x = 8,286.87 × 1,628.06
  4. Step 4: Simplify right side
    5,523.65x = 13,491,480.14
  5. Step 5: Solve for x
    x = 13,491,480.14/5,523.65
  6. Step 6: Final answer
    x = 2,442.50

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Why These Related Problems?

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