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Finding the Fourth Proportional to 3,392.89, 5,089.84 and 1,201.43

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Solution

The fourth proportional to 3,392.89, 5,089.84 and 1,201.43 is: 1,802.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,392.89 : 5,089.84 = 1,201.43 : x
  2. Step 2: Convert to fraction form
    3,392.89/5,089.84 = 1,201.43/x
  3. Step 3: Cross multiply
    3,392.89x = 5,089.84 × 1,201.43
  4. Step 4: Simplify right side
    3,392.89x = 6,115,096.19
  5. Step 5: Solve for x
    x = 6,115,096.19/3,392.89
  6. Step 6: Final answer
    x = 1,802.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.