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Finding the Fourth Proportional to 6,382.82, 8,807.76 and 3,549.96

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Solution

The fourth proportional to 6,382.82, 8,807.76 and 3,549.96 is: 4,898.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,382.82 : 8,807.76 = 3,549.96 : x
  2. Step 2: Convert to fraction form
    6,382.82/8,807.76 = 3,549.96/x
  3. Step 3: Cross multiply
    6,382.82x = 8,807.76 × 3,549.96
  4. Step 4: Simplify right side
    6,382.82x = 31,267,195.69
  5. Step 5: Solve for x
    x = 31,267,195.69/6,382.82
  6. Step 6: Final answer
    x = 4,898.65

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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.