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Finding the Fourth Proportional to 3,496.28, 5,239.64 and 1,933.96

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Solution

The fourth proportional to 3,496.28, 5,239.64 and 1,933.96 is: 2,898.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,496.28 : 5,239.64 = 1,933.96 : x
  2. Step 2: Convert to fraction form
    3,496.28/5,239.64 = 1,933.96/x
  3. Step 3: Cross multiply
    3,496.28x = 5,239.64 × 1,933.96
  4. Step 4: Simplify right side
    3,496.28x = 10,133,254.17
  5. Step 5: Solve for x
    x = 10,133,254.17/3,496.28
  6. Step 6: Final answer
    x = 2,898.30

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Why These Related Problems?

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