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Finding the Fourth Proportional to 6,288.93, 8,677.76 and 3,635.82

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Solution

The fourth proportional to 6,288.93, 8,677.76 and 3,635.82 is: 5,016.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,288.93 : 8,677.76 = 3,635.82 : x
  2. Step 2: Convert to fraction form
    6,288.93/8,677.76 = 3,635.82/x
  3. Step 3: Cross multiply
    6,288.93x = 8,677.76 × 3,635.82
  4. Step 4: Simplify right side
    6,288.93x = 31,550,755.18
  5. Step 5: Solve for x
    x = 31,550,755.18/6,288.93
  6. Step 6: Final answer
    x = 5,016.87

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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.