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Finding the Fourth Proportional to 5,740.86, 7,908.39 and 3,969.42

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Solution

The fourth proportional to 5,740.86, 7,908.39 and 3,969.42 is: 5,468.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,740.86 : 7,908.39 = 3,969.42 : x
  2. Step 2: Convert to fraction form
    5,740.86/7,908.39 = 3,969.42/x
  3. Step 3: Cross multiply
    5,740.86x = 7,908.39 × 3,969.42
  4. Step 4: Simplify right side
    5,740.86x = 31,391,721.43
  5. Step 5: Solve for x
    x = 31,391,721.43/5,740.86
  6. Step 6: Final answer
    x = 5,468.12

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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.