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Finding the Fourth Proportional to 3,965.96, 5,480.26 and 2,641.46

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Solution

The fourth proportional to 3,965.96, 5,480.26 and 2,641.46 is: 3,650.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,965.96 : 5,480.26 = 2,641.46 : x
  2. Step 2: Convert to fraction form
    3,965.96/5,480.26 = 2,641.46/x
  3. Step 3: Cross multiply
    3,965.96x = 5,480.26 × 2,641.46
  4. Step 4: Simplify right side
    3,965.96x = 14,475,884.40
  5. Step 5: Solve for x
    x = 14,475,884.40/3,965.96
  6. Step 6: Final answer
    x = 3,650.03

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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.