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Finding the Fourth Proportional to 4,331.76, 6,489 and 3,293.52

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Solution

The fourth proportional to 4,331.76, 6,489 and 3,293.52 is: 4,933.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,331.76 : 6,489 = 3,293.52 : x
  2. Step 2: Convert to fraction form
    4,331.76/6,489 = 3,293.52/x
  3. Step 3: Cross multiply
    4,331.76x = 6,489 × 3,293.52
  4. Step 4: Simplify right side
    4,331.76x = 21,371,651.28
  5. Step 5: Solve for x
    x = 21,371,651.28/4,331.76
  6. Step 6: Final answer
    x = 4,933.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.