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Finding the Fourth Proportional to 3,393.60, 5,089.68 and 1,172.16

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Solution

The fourth proportional to 3,393.60, 5,089.68 and 1,172.16 is: 1,757.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,393.60 : 5,089.68 = 1,172.16 : x
  2. Step 2: Convert to fraction form
    3,393.60/5,089.68 = 1,172.16/x
  3. Step 3: Cross multiply
    3,393.60x = 5,089.68 × 1,172.16
  4. Step 4: Simplify right side
    3,393.60x = 5,965,919.31
  5. Step 5: Solve for x
    x = 5,965,919.31/3,393.60
  6. Step 6: Final answer
    x = 1,757.99

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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.