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Finding the Fourth Proportional to 3,757.60, 5,636.77 and 1,292.09

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Solution

The fourth proportional to 3,757.60, 5,636.77 and 1,292.09 is: 1,938.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,757.60 : 5,636.77 = 1,292.09 : x
  2. Step 2: Convert to fraction form
    3,757.60/5,636.77 = 1,292.09/x
  3. Step 3: Cross multiply
    3,757.60x = 5,636.77 × 1,292.09
  4. Step 4: Simplify right side
    3,757.60x = 7,283,214.15
  5. Step 5: Solve for x
    x = 7,283,214.15/3,757.60
  6. Step 6: Final answer
    x = 1,938.26

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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.