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Finding the Fourth Proportional to 3,980.88, 5,494.23 and 2,302.29

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Solution

The fourth proportional to 3,980.88, 5,494.23 and 2,302.29 is: 3,177.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,980.88 : 5,494.23 = 2,302.29 : x
  2. Step 2: Convert to fraction form
    3,980.88/5,494.23 = 2,302.29/x
  3. Step 3: Cross multiply
    3,980.88x = 5,494.23 × 2,302.29
  4. Step 4: Simplify right side
    3,980.88x = 12,649,310.79
  5. Step 5: Solve for x
    x = 12,649,310.79/3,980.88
  6. Step 6: Final answer
    x = 3,177.52

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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.