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Finding the Fourth Proportional to 6,544.56, 9,809.06 and 3,029.66

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Solution

The fourth proportional to 6,544.56, 9,809.06 and 3,029.66 is: 4,540.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,544.56 : 9,809.06 = 3,029.66 : x
  2. Step 2: Convert to fraction form
    6,544.56/9,809.06 = 3,029.66/x
  3. Step 3: Cross multiply
    6,544.56x = 9,809.06 × 3,029.66
  4. Step 4: Simplify right side
    6,544.56x = 29,718,052.53
  5. Step 5: Solve for x
    x = 29,718,052.53/6,544.56
  6. Step 6: Final answer
    x = 4,540.88

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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.