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Finding the Fourth Proportional to 3,757.22, 5,636.76 and 1,160.16

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Solution

The fourth proportional to 3,757.22, 5,636.76 and 1,160.16 is: 1,740.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,757.22 : 5,636.76 = 1,160.16 : x
  2. Step 2: Convert to fraction form
    3,757.22/5,636.76 = 1,160.16/x
  3. Step 3: Cross multiply
    3,757.22x = 5,636.76 × 1,160.16
  4. Step 4: Simplify right side
    3,757.22x = 6,539,517.99
  5. Step 5: Solve for x
    x = 6,539,517.99/3,757.22
  6. Step 6: Final answer
    x = 1,740.52

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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.