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Finding the Fourth Proportional to 3,289.96, 4,540.80 and 2,094.16

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Solution

The fourth proportional to 3,289.96, 4,540.80 and 2,094.16 is: 2,890.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,289.96 : 4,540.80 = 2,094.16 : x
  2. Step 2: Convert to fraction form
    3,289.96/4,540.80 = 2,094.16/x
  3. Step 3: Cross multiply
    3,289.96x = 4,540.80 × 2,094.16
  4. Step 4: Simplify right side
    3,289.96x = 9,509,161.73
  5. Step 5: Solve for x
    x = 9,509,161.73/3,289.96
  6. Step 6: Final answer
    x = 2,890.36

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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.