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Finding the Fourth Proportional to 3,502.13, 4,832.96 and 1,930.23

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Solution

The fourth proportional to 3,502.13, 4,832.96 and 1,930.23 is: 2,663.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,502.13 : 4,832.96 = 1,930.23 : x
  2. Step 2: Convert to fraction form
    3,502.13/4,832.96 = 1,930.23/x
  3. Step 3: Cross multiply
    3,502.13x = 4,832.96 × 1,930.23
  4. Step 4: Simplify right side
    3,502.13x = 9,328,714.73
  5. Step 5: Solve for x
    x = 9,328,714.73/3,502.13
  6. Step 6: Final answer
    x = 2,663.73

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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.