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Finding the Fourth Proportional to 3,388.70, 5,084.30 and 1,167.75

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Solution

The fourth proportional to 3,388.70, 5,084.30 and 1,167.75 is: 1,752.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,388.70 : 5,084.30 = 1,167.75 : x
  2. Step 2: Convert to fraction form
    3,388.70/5,084.30 = 1,167.75/x
  3. Step 3: Cross multiply
    3,388.70x = 5,084.30 × 1,167.75
  4. Step 4: Simplify right side
    3,388.70x = 5,937,194.24
  5. Step 5: Solve for x
    x = 5,937,194.24/3,388.70
  6. Step 6: Final answer
    x = 1,752.06

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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.