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Finding the Fourth Proportional to 5,964.69, 8,230.65 and 3,447.61

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Solution

The fourth proportional to 5,964.69, 8,230.65 and 3,447.61 is: 4,757.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,964.69 : 8,230.65 = 3,447.61 : x
  2. Step 2: Convert to fraction form
    5,964.69/8,230.65 = 3,447.61/x
  3. Step 3: Cross multiply
    5,964.69x = 8,230.65 × 3,447.61
  4. Step 4: Simplify right side
    5,964.69x = 28,376,084.04
  5. Step 5: Solve for x
    x = 28,376,084.04/5,964.69
  6. Step 6: Final answer
    x = 4,757.35

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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.