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Finding the Fourth Proportional to 3,791.36, 5,232.36 and 2,465.24

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Solution

The fourth proportional to 3,791.36, 5,232.36 and 2,465.24 is: 3,402.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,791.36 : 5,232.36 = 2,465.24 : x
  2. Step 2: Convert to fraction form
    3,791.36/5,232.36 = 2,465.24/x
  3. Step 3: Cross multiply
    3,791.36x = 5,232.36 × 2,465.24
  4. Step 4: Simplify right side
    3,791.36x = 12,899,023.17
  5. Step 5: Solve for x
    x = 12,899,023.17/3,791.36
  6. Step 6: Final answer
    x = 3,402.22

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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.