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Finding the Fourth Proportional to 3,792.96, 5,691.60 and 3,028.32

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Solution

The fourth proportional to 3,792.96, 5,691.60 and 3,028.32 is: 4,544.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,792.96 : 5,691.60 = 3,028.32 : x
  2. Step 2: Convert to fraction form
    3,792.96/5,691.60 = 3,028.32/x
  3. Step 3: Cross multiply
    3,792.96x = 5,691.60 × 3,028.32
  4. Step 4: Simplify right side
    3,792.96x = 17,235,986.11
  5. Step 5: Solve for x
    x = 17,235,986.11/3,792.96
  6. Step 6: Final answer
    x = 4,544.20

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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.