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Finding the Fourth Proportional to 3,775.80, 5,660.10 and 2,942.40

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Solution

The fourth proportional to 3,775.80, 5,660.10 and 2,942.40 is: 4,410.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,775.80 : 5,660.10 = 2,942.40 : x
  2. Step 2: Convert to fraction form
    3,775.80/5,660.10 = 2,942.40/x
  3. Step 3: Cross multiply
    3,775.80x = 5,660.10 × 2,942.40
  4. Step 4: Simplify right side
    3,775.80x = 16,654,278.24
  5. Step 5: Solve for x
    x = 16,654,278.24/3,775.80
  6. Step 6: Final answer
    x = 4,410.79

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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.