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Finding the Fourth Proportional to 3,502.92, 4,830.02 and 2,617.24

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Solution

The fourth proportional to 3,502.92, 4,830.02 and 2,617.24 is: 3,608.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,502.92 : 4,830.02 = 2,617.24 : x
  2. Step 2: Convert to fraction form
    3,502.92/4,830.02 = 2,617.24/x
  3. Step 3: Cross multiply
    3,502.92x = 4,830.02 × 2,617.24
  4. Step 4: Simplify right side
    3,502.92x = 12,641,321.54
  5. Step 5: Solve for x
    x = 12,641,321.54/3,502.92
  6. Step 6: Final answer
    x = 3,608.80

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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.