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Finding the Fourth Proportional to 4,922.34, 7,375.29 and 3,458.87

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Solution

The fourth proportional to 4,922.34, 7,375.29 and 3,458.87 is: 5,182.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,922.34 : 7,375.29 = 3,458.87 : x
  2. Step 2: Convert to fraction form
    4,922.34/7,375.29 = 3,458.87/x
  3. Step 3: Cross multiply
    4,922.34x = 7,375.29 × 3,458.87
  4. Step 4: Simplify right side
    4,922.34x = 25,510,200.73
  5. Step 5: Solve for x
    x = 25,510,200.73/4,922.34
  6. Step 6: Final answer
    x = 5,182.54

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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.