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Finding the Fourth Proportional to 4,654.22, 6,975.17 and 3,415.82

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Solution

The fourth proportional to 4,654.22, 6,975.17 and 3,415.82 is: 5,119.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,654.22 : 6,975.17 = 3,415.82 : x
  2. Step 2: Convert to fraction form
    4,654.22/6,975.17 = 3,415.82/x
  3. Step 3: Cross multiply
    4,654.22x = 6,975.17 × 3,415.82
  4. Step 4: Simplify right side
    4,654.22x = 23,825,873.23
  5. Step 5: Solve for x
    x = 23,825,873.23/4,654.22
  6. Step 6: Final answer
    x = 5,119.20

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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.