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Finding the Fourth Proportional to 3,343.62, 5,016.17 and 1,152.34

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Solution

The fourth proportional to 3,343.62, 5,016.17 and 1,152.34 is: 1,728.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,343.62 : 5,016.17 = 1,152.34 : x
  2. Step 2: Convert to fraction form
    3,343.62/5,016.17 = 1,152.34/x
  3. Step 3: Cross multiply
    3,343.62x = 5,016.17 × 1,152.34
  4. Step 4: Simplify right side
    3,343.62x = 5,780,333.34
  5. Step 5: Solve for x
    x = 5,780,333.34/3,343.62
  6. Step 6: Final answer
    x = 1,728.77

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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.