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Finding the Fourth Proportional to 3,980.96, 5,494.43 and 2,302.10

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Solution

The fourth proportional to 3,980.96, 5,494.43 and 2,302.10 is: 3,177.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,980.96 : 5,494.43 = 2,302.10 : x
  2. Step 2: Convert to fraction form
    3,980.96/5,494.43 = 2,302.10/x
  3. Step 3: Cross multiply
    3,980.96x = 5,494.43 × 2,302.10
  4. Step 4: Simplify right side
    3,980.96x = 12,648,727.30
  5. Step 5: Solve for x
    x = 12,648,727.30/3,980.96
  6. Step 6: Final answer
    x = 3,177.31

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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.