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Finding the Fourth Proportional to 4,253.54, 6,375.42 and 1,654.28

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Solution

The fourth proportional to 4,253.54, 6,375.42 and 1,654.28 is: 2,479.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,253.54 : 6,375.42 = 1,654.28 : x
  2. Step 2: Convert to fraction form
    4,253.54/6,375.42 = 1,654.28/x
  3. Step 3: Cross multiply
    4,253.54x = 6,375.42 × 1,654.28
  4. Step 4: Simplify right side
    4,253.54x = 10,546,729.80
  5. Step 5: Solve for x
    x = 10,546,729.80/4,253.54
  6. Step 6: Final answer
    x = 2,479.52

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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.