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Finding the Fourth Proportional to 6,257.67, 8,635.77 and 3,463.17

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Solution

The fourth proportional to 6,257.67, 8,635.77 and 3,463.17 is: 4,779.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,257.67 : 8,635.77 = 3,463.17 : x
  2. Step 2: Convert to fraction form
    6,257.67/8,635.77 = 3,463.17/x
  3. Step 3: Cross multiply
    6,257.67x = 8,635.77 × 3,463.17
  4. Step 4: Simplify right side
    6,257.67x = 29,907,139.59
  5. Step 5: Solve for x
    x = 29,907,139.59/6,257.67
  6. Step 6: Final answer
    x = 4,779.28

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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.