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Finding the Fourth Proportional to 3,502.34, 4,832.79 and 2,010.05

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Solution

The fourth proportional to 3,502.34, 4,832.79 and 2,010.05 is: 2,773.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,502.34 : 4,832.79 = 2,010.05 : x
  2. Step 2: Convert to fraction form
    3,502.34/4,832.79 = 2,010.05/x
  3. Step 3: Cross multiply
    3,502.34x = 4,832.79 × 2,010.05
  4. Step 4: Simplify right side
    3,502.34x = 9,714,149.54
  5. Step 5: Solve for x
    x = 9,714,149.54/3,502.34
  6. Step 6: Final answer
    x = 2,773.62

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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.