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Finding the Fourth Proportional to 3,474.12, 5,207.94 and 1,164

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Solution

The fourth proportional to 3,474.12, 5,207.94 and 1,164 is: 1,744.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,474.12 : 5,207.94 = 1,164 : x
  2. Step 2: Convert to fraction form
    3,474.12/5,207.94 = 1,164/x
  3. Step 3: Cross multiply
    3,474.12x = 5,207.94 × 1,164
  4. Step 4: Simplify right side
    3,474.12x = 6,062,042.16
  5. Step 5: Solve for x
    x = 6,062,042.16/3,474.12
  6. Step 6: Final answer
    x = 1,744.91

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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.