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Finding the Fourth Proportional to 3,695, 5,545.14 and 2,052.86

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Solution

The fourth proportional to 3,695, 5,545.14 and 2,052.86 is: 3,080.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,695 : 5,545.14 = 2,052.86 : x
  2. Step 2: Convert to fraction form
    3,695/5,545.14 = 2,052.86/x
  3. Step 3: Cross multiply
    3,695x = 5,545.14 × 2,052.86
  4. Step 4: Simplify right side
    3,695x = 11,383,396.10
  5. Step 5: Solve for x
    x = 11,383,396.10/3,695
  6. Step 6: Final answer
    x = 3,080.76

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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.