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Finding the Fourth Proportional to 6,505.72, 8,978 and 3,673.66

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Solution

The fourth proportional to 6,505.72, 8,978 and 3,673.66 is: 5,069.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,505.72 : 8,978 = 3,673.66 : x
  2. Step 2: Convert to fraction form
    6,505.72/8,978 = 3,673.66/x
  3. Step 3: Cross multiply
    6,505.72x = 8,978 × 3,673.66
  4. Step 4: Simplify right side
    6,505.72x = 32,982,119.48
  5. Step 5: Solve for x
    x = 32,982,119.48/6,505.72
  6. Step 6: Final answer
    x = 5,069.71

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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.