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Finding the Fourth Proportional to 3,757.14, 5,636.43 and 1,160.46

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Solution

The fourth proportional to 3,757.14, 5,636.43 and 1,160.46 is: 1,740.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,757.14 : 5,636.43 = 1,160.46 : x
  2. Step 2: Convert to fraction form
    3,757.14/5,636.43 = 1,160.46/x
  3. Step 3: Cross multiply
    3,757.14x = 5,636.43 × 1,160.46
  4. Step 4: Simplify right side
    3,757.14x = 6,540,851.56
  5. Step 5: Solve for x
    x = 6,540,851.56/3,757.14
  6. Step 6: Final answer
    x = 1,740.91

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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.