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Finding the Fourth Proportional to 3,792.96, 5,231.32 and 3,368.01

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Solution

The fourth proportional to 3,792.96, 5,231.32 and 3,368.01 is: 4,645.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,792.96 : 5,231.32 = 3,368.01 : x
  2. Step 2: Convert to fraction form
    3,792.96/5,231.32 = 3,368.01/x
  3. Step 3: Cross multiply
    3,792.96x = 5,231.32 × 3,368.01
  4. Step 4: Simplify right side
    3,792.96x = 17,619,149.27
  5. Step 5: Solve for x
    x = 17,619,149.27/3,792.96
  6. Step 6: Final answer
    x = 4,645.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.