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Finding the Fourth Proportional to 3,920.25, 5,409.76 and 2,349.21

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Solution

The fourth proportional to 3,920.25, 5,409.76 and 2,349.21 is: 3,241.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,920.25 : 5,409.76 = 2,349.21 : x
  2. Step 2: Convert to fraction form
    3,920.25/5,409.76 = 2,349.21/x
  3. Step 3: Cross multiply
    3,920.25x = 5,409.76 × 2,349.21
  4. Step 4: Simplify right side
    3,920.25x = 12,708,662.29
  5. Step 5: Solve for x
    x = 12,708,662.29/3,920.25
  6. Step 6: Final answer
    x = 3,241.80

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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.