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Finding the Fourth Proportional to 6,180.71, 8,527.82 and 3,662.69

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Solution

The fourth proportional to 6,180.71, 8,527.82 and 3,662.69 is: 5,053.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,180.71 : 8,527.82 = 3,662.69 : x
  2. Step 2: Convert to fraction form
    6,180.71/8,527.82 = 3,662.69/x
  3. Step 3: Cross multiply
    6,180.71x = 8,527.82 × 3,662.69
  4. Step 4: Simplify right side
    6,180.71x = 31,234,700.08
  5. Step 5: Solve for x
    x = 31,234,700.08/6,180.71
  6. Step 6: Final answer
    x = 5,053.58

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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.