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Finding the Fourth Proportional to 4,942.24, 7,414.13 and 1,654.57

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Solution

The fourth proportional to 4,942.24, 7,414.13 and 1,654.57 is: 2,482.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,942.24 : 7,414.13 = 1,654.57 : x
  2. Step 2: Convert to fraction form
    4,942.24/7,414.13 = 1,654.57/x
  3. Step 3: Cross multiply
    4,942.24x = 7,414.13 × 1,654.57
  4. Step 4: Simplify right side
    4,942.24x = 12,267,182.68
  5. Step 5: Solve for x
    x = 12,267,182.68/4,942.24
  6. Step 6: Final answer
    x = 2,482.11

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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.