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Finding the Fourth Proportional to 6,454.29, 9,682.02 and 3,335.79

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Solution

The fourth proportional to 6,454.29, 9,682.02 and 3,335.79 is: 5,003.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,454.29 : 9,682.02 = 3,335.79 : x
  2. Step 2: Convert to fraction form
    6,454.29/9,682.02 = 3,335.79/x
  3. Step 3: Cross multiply
    6,454.29x = 9,682.02 × 3,335.79
  4. Step 4: Simplify right side
    6,454.29x = 32,297,185.50
  5. Step 5: Solve for x
    x = 32,297,185.50/6,454.29
  6. Step 6: Final answer
    x = 5,003.99

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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.