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Finding the Fourth Proportional to 3,955.43, 5,933.16 and 1,033.76

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Solution

The fourth proportional to 3,955.43, 5,933.16 and 1,033.76 is: 1,550.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,955.43 : 5,933.16 = 1,033.76 : x
  2. Step 2: Convert to fraction form
    3,955.43/5,933.16 = 1,033.76/x
  3. Step 3: Cross multiply
    3,955.43x = 5,933.16 × 1,033.76
  4. Step 4: Simplify right side
    3,955.43x = 6,133,433.82
  5. Step 5: Solve for x
    x = 6,133,433.82/3,955.43
  6. Step 6: Final answer
    x = 1,550.64

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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.