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Finding the Fourth Proportional to 4,672.66, 6,457.56 and 3,832.06

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Solution

The fourth proportional to 4,672.66, 6,457.56 and 3,832.06 is: 5,295.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,672.66 : 6,457.56 = 3,832.06 : x
  2. Step 2: Convert to fraction form
    4,672.66/6,457.56 = 3,832.06/x
  3. Step 3: Cross multiply
    4,672.66x = 6,457.56 × 3,832.06
  4. Step 4: Simplify right side
    4,672.66x = 24,745,757.37
  5. Step 5: Solve for x
    x = 24,745,757.37/4,672.66
  6. Step 6: Final answer
    x = 5,295.86

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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.