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Finding the Fourth Proportional to 4,942.68, 7,410.52 and 2,475.74

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Solution

The fourth proportional to 4,942.68, 7,410.52 and 2,475.74 is: 3,711.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,942.68 : 7,410.52 = 2,475.74 : x
  2. Step 2: Convert to fraction form
    4,942.68/7,410.52 = 2,475.74/x
  3. Step 3: Cross multiply
    4,942.68x = 7,410.52 × 2,475.74
  4. Step 4: Simplify right side
    4,942.68x = 18,346,520.78
  5. Step 5: Solve for x
    x = 18,346,520.78/4,942.68
  6. Step 6: Final answer
    x = 3,711.86

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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.