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Finding the Fourth Proportional to 6,362.56, 8,780.40 and 3,568

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Solution

The fourth proportional to 6,362.56, 8,780.40 and 3,568 is: 4,923.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,362.56 : 8,780.40 = 3,568 : x
  2. Step 2: Convert to fraction form
    6,362.56/8,780.40 = 3,568/x
  3. Step 3: Cross multiply
    6,362.56x = 8,780.40 × 3,568
  4. Step 4: Simplify right side
    6,362.56x = 31,328,467.20
  5. Step 5: Solve for x
    x = 31,328,467.20/6,362.56
  6. Step 6: Final answer
    x = 4,923.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.