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Finding the Fourth Proportional to 3,502.14, 4,832.25 and 2,662.62

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Solution

The fourth proportional to 3,502.14, 4,832.25 and 2,662.62 is: 3,673.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,502.14 : 4,832.25 = 2,662.62 : x
  2. Step 2: Convert to fraction form
    3,502.14/4,832.25 = 2,662.62/x
  3. Step 3: Cross multiply
    3,502.14x = 4,832.25 × 2,662.62
  4. Step 4: Simplify right side
    3,502.14x = 12,866,445.50
  5. Step 5: Solve for x
    x = 12,866,445.50/3,502.14
  6. Step 6: Final answer
    x = 3,673.88

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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.