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Finding the Fourth Proportional to 3,376.96, 5,058.96 and 1,640.32

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Solution

The fourth proportional to 3,376.96, 5,058.96 and 1,640.32 is: 2,457.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,376.96 : 5,058.96 = 1,640.32 : x
  2. Step 2: Convert to fraction form
    3,376.96/5,058.96 = 1,640.32/x
  3. Step 3: Cross multiply
    3,376.96x = 5,058.96 × 1,640.32
  4. Step 4: Simplify right side
    3,376.96x = 8,298,313.27
  5. Step 5: Solve for x
    x = 8,298,313.27/3,376.96
  6. Step 6: Final answer
    x = 2,457.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.