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Finding the Fourth Proportional to 3,854.05, 5,777.11 and 1,660.93

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Solution

The fourth proportional to 3,854.05, 5,777.11 and 1,660.93 is: 2,489.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,854.05 : 5,777.11 = 1,660.93 : x
  2. Step 2: Convert to fraction form
    3,854.05/5,777.11 = 1,660.93/x
  3. Step 3: Cross multiply
    3,854.05x = 5,777.11 × 1,660.93
  4. Step 4: Simplify right side
    3,854.05x = 9,595,375.31
  5. Step 5: Solve for x
    x = 9,595,375.31/3,854.05
  6. Step 6: Final answer
    x = 2,489.69

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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.