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Finding the Fourth Proportional to 6,257.14, 8,635.62 and 3,604.50

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Solution

The fourth proportional to 6,257.14, 8,635.62 and 3,604.50 is: 4,974.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,257.14 : 8,635.62 = 3,604.50 : x
  2. Step 2: Convert to fraction form
    6,257.14/8,635.62 = 3,604.50/x
  3. Step 3: Cross multiply
    6,257.14x = 8,635.62 × 3,604.50
  4. Step 4: Simplify right side
    6,257.14x = 31,127,092.29
  5. Step 5: Solve for x
    x = 31,127,092.29/6,257.14
  6. Step 6: Final answer
    x = 4,974.65

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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.