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Finding the Fourth Proportional to 3,770.43, 5,654.16 and 1,137.12

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Solution

The fourth proportional to 3,770.43, 5,654.16 and 1,137.12 is: 1,705.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,770.43 : 5,654.16 = 1,137.12 : x
  2. Step 2: Convert to fraction form
    3,770.43/5,654.16 = 1,137.12/x
  3. Step 3: Cross multiply
    3,770.43x = 5,654.16 × 1,137.12
  4. Step 4: Simplify right side
    3,770.43x = 6,429,458.42
  5. Step 5: Solve for x
    x = 6,429,458.42/3,770.43
  6. Step 6: Final answer
    x = 1,705.23

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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.