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Finding the Fourth Proportional to 6,277.32, 8,662.82 and 3,624.57

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Solution

The fourth proportional to 6,277.32, 8,662.82 and 3,624.57 is: 5,001.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,277.32 : 8,662.82 = 3,624.57 : x
  2. Step 2: Convert to fraction form
    6,277.32/8,662.82 = 3,624.57/x
  3. Step 3: Cross multiply
    6,277.32x = 8,662.82 × 3,624.57
  4. Step 4: Simplify right side
    6,277.32x = 31,398,979.36
  5. Step 5: Solve for x
    x = 31,398,979.36/6,277.32
  6. Step 6: Final answer
    x = 5,001.97

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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.