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Finding the Fourth Proportional to 3,770.45, 5,655.70 and 1,137.97

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Solution

The fourth proportional to 3,770.45, 5,655.70 and 1,137.97 is: 1,706.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,770.45 : 5,655.70 = 1,137.97 : x
  2. Step 2: Convert to fraction form
    3,770.45/5,655.70 = 1,137.97/x
  3. Step 3: Cross multiply
    3,770.45x = 5,655.70 × 1,137.97
  4. Step 4: Simplify right side
    3,770.45x = 6,435,988.65
  5. Step 5: Solve for x
    x = 6,435,988.65/3,770.45
  6. Step 6: Final answer
    x = 1,706.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.