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Finding the Fourth Proportional to 4,922.34, 7,375.68 and 3,444.36

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Solution

The fourth proportional to 4,922.34, 7,375.68 and 3,444.36 is: 5,161.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,922.34 : 7,375.68 = 3,444.36 : x
  2. Step 2: Convert to fraction form
    4,922.34/7,375.68 = 3,444.36/x
  3. Step 3: Cross multiply
    4,922.34x = 7,375.68 × 3,444.36
  4. Step 4: Simplify right side
    4,922.34x = 25,404,479.94
  5. Step 5: Solve for x
    x = 25,404,479.94/4,922.34
  6. Step 6: Final answer
    x = 5,161.06

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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.