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Finding the Fourth Proportional to 3,917.80, 5,405.70 and 3,290.68

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Solution

The fourth proportional to 3,917.80, 5,405.70 and 3,290.68 is: 4,540.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,917.80 : 5,405.70 = 3,290.68 : x
  2. Step 2: Convert to fraction form
    3,917.80/5,405.70 = 3,290.68/x
  3. Step 3: Cross multiply
    3,917.80x = 5,405.70 × 3,290.68
  4. Step 4: Simplify right side
    3,917.80x = 17,788,428.88
  5. Step 5: Solve for x
    x = 17,788,428.88/3,917.80
  6. Step 6: Final answer
    x = 4,540.41

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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.