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Finding the Fourth Proportional to 3,474.75, 5,208.94 and 1,133.31

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Solution

The fourth proportional to 3,474.75, 5,208.94 and 1,133.31 is: 1,698.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,474.75 : 5,208.94 = 1,133.31 : x
  2. Step 2: Convert to fraction form
    3,474.75/5,208.94 = 1,133.31/x
  3. Step 3: Cross multiply
    3,474.75x = 5,208.94 × 1,133.31
  4. Step 4: Simplify right side
    3,474.75x = 5,903,364.74
  5. Step 5: Solve for x
    x = 5,903,364.74/3,474.75
  6. Step 6: Final answer
    x = 1,698.93

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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.