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Finding the Fourth Proportional to 5,969.07, 8,238.45 and 3,952.53

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Solution

The fourth proportional to 5,969.07, 8,238.45 and 3,952.53 is: 5,455.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,969.07 : 8,238.45 = 3,952.53 : x
  2. Step 2: Convert to fraction form
    5,969.07/8,238.45 = 3,952.53/x
  3. Step 3: Cross multiply
    5,969.07x = 8,238.45 × 3,952.53
  4. Step 4: Simplify right side
    5,969.07x = 32,562,720.78
  5. Step 5: Solve for x
    x = 32,562,720.78/5,969.07
  6. Step 6: Final answer
    x = 5,455.24

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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.