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Finding the Fourth Proportional to 3,502.16, 4,832.64 and 1,930.20

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Solution

The fourth proportional to 3,502.16, 4,832.64 and 1,930.20 is: 2,663.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,502.16 : 4,832.64 = 1,930.20 : x
  2. Step 2: Convert to fraction form
    3,502.16/4,832.64 = 1,930.20/x
  3. Step 3: Cross multiply
    3,502.16x = 4,832.64 × 1,930.20
  4. Step 4: Simplify right side
    3,502.16x = 9,327,961.73
  5. Step 5: Solve for x
    x = 9,327,961.73/3,502.16
  6. Step 6: Final answer
    x = 2,663.49

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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.