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Finding the Fourth Proportional to 3,770.91, 5,656.05 and 1,173.87

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Solution

The fourth proportional to 3,770.91, 5,656.05 and 1,173.87 is: 1,760.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,770.91 : 5,656.05 = 1,173.87 : x
  2. Step 2: Convert to fraction form
    3,770.91/5,656.05 = 1,173.87/x
  3. Step 3: Cross multiply
    3,770.91x = 5,656.05 × 1,173.87
  4. Step 4: Simplify right side
    3,770.91x = 6,639,467.41
  5. Step 5: Solve for x
    x = 6,639,467.41/3,770.91
  6. Step 6: Final answer
    x = 1,760.71

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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.