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Finding the Fourth Proportional to 3,502.12, 4,832.88 and 1,930.24

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Solution

The fourth proportional to 3,502.12, 4,832.88 and 1,930.24 is: 2,663.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,502.12 : 4,832.88 = 1,930.24 : x
  2. Step 2: Convert to fraction form
    3,502.12/4,832.88 = 1,930.24/x
  3. Step 3: Cross multiply
    3,502.12x = 4,832.88 × 1,930.24
  4. Step 4: Simplify right side
    3,502.12x = 9,328,618.29
  5. Step 5: Solve for x
    x = 9,328,618.29/3,502.12
  6. Step 6: Final answer
    x = 2,663.71

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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.