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Finding the Fourth Proportional to 6,257.79, 8,635.68 and 3,425.22

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Solution

The fourth proportional to 6,257.79, 8,635.68 and 3,425.22 is: 4,726.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,257.79 : 8,635.68 = 3,425.22 : x
  2. Step 2: Convert to fraction form
    6,257.79/8,635.68 = 3,425.22/x
  3. Step 3: Cross multiply
    6,257.79x = 8,635.68 × 3,425.22
  4. Step 4: Simplify right side
    6,257.79x = 29,579,103.85
  5. Step 5: Solve for x
    x = 29,579,103.85/6,257.79
  6. Step 6: Final answer
    x = 4,726.77

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