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Finding the Fourth Proportional to 4,936.88, 7,405.32 and 1,474.13

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Solution

The fourth proportional to 4,936.88, 7,405.32 and 1,474.13 is: 2,211.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,936.88 : 7,405.32 = 1,474.13 : x
  2. Step 2: Convert to fraction form
    4,936.88/7,405.32 = 1,474.13/x
  3. Step 3: Cross multiply
    4,936.88x = 7,405.32 × 1,474.13
  4. Step 4: Simplify right side
    4,936.88x = 10,916,367.35
  5. Step 5: Solve for x
    x = 10,916,367.35/4,936.88
  6. Step 6: Final answer
    x = 2,211.19

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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.