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Finding the Fourth Proportional to 3,695.75, 5,543.46 and 1,614.62

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Solution

The fourth proportional to 3,695.75, 5,543.46 and 1,614.62 is: 2,421.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,695.75 : 5,543.46 = 1,614.62 : x
  2. Step 2: Convert to fraction form
    3,695.75/5,543.46 = 1,614.62/x
  3. Step 3: Cross multiply
    3,695.75x = 5,543.46 × 1,614.62
  4. Step 4: Simplify right side
    3,695.75x = 8,950,553.67
  5. Step 5: Solve for x
    x = 8,950,553.67/3,695.75
  6. Step 6: Final answer
    x = 2,421.85

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1.5x scale

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.