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Finding the Fourth Proportional to 6,523.56, 9,785.34 and 3,395.88

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Solution

The fourth proportional to 6,523.56, 9,785.34 and 3,395.88 is: 5,093.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,523.56 : 9,785.34 = 3,395.88 : x
  2. Step 2: Convert to fraction form
    6,523.56/9,785.34 = 3,395.88/x
  3. Step 3: Cross multiply
    6,523.56x = 9,785.34 × 3,395.88
  4. Step 4: Simplify right side
    6,523.56x = 33,229,840.40
  5. Step 5: Solve for x
    x = 33,229,840.40/6,523.56
  6. Step 6: Final answer
    x = 5,093.82

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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.