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Finding the Fourth Proportional to 5,228.32, 7,843.24 and 1,766.56

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Solution

The fourth proportional to 5,228.32, 7,843.24 and 1,766.56 is: 2,650.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,228.32 : 7,843.24 = 1,766.56 : x
  2. Step 2: Convert to fraction form
    5,228.32/7,843.24 = 1,766.56/x
  3. Step 3: Cross multiply
    5,228.32x = 7,843.24 × 1,766.56
  4. Step 4: Simplify right side
    5,228.32x = 13,855,554.05
  5. Step 5: Solve for x
    x = 13,855,554.05/5,228.32
  6. Step 6: Final answer
    x = 2,650.10

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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.