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Finding the Fourth Proportional to 5,950.13, 8,208.82 and 3,825.30

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Solution

The fourth proportional to 5,950.13, 8,208.82 and 3,825.30 is: 5,277.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,950.13 : 8,208.82 = 3,825.30 : x
  2. Step 2: Convert to fraction form
    5,950.13/8,208.82 = 3,825.30/x
  3. Step 3: Cross multiply
    5,950.13x = 8,208.82 × 3,825.30
  4. Step 4: Simplify right side
    5,950.13x = 31,401,199.15
  5. Step 5: Solve for x
    x = 31,401,199.15/5,950.13
  6. Step 6: Final answer
    x = 5,277.40

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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.