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Finding the Fourth Proportional to 4,481.64, 6,710.13 and 3,382.68

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Solution

The fourth proportional to 4,481.64, 6,710.13 and 3,382.68 is: 5,064.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,481.64 : 6,710.13 = 3,382.68 : x
  2. Step 2: Convert to fraction form
    4,481.64/6,710.13 = 3,382.68/x
  3. Step 3: Cross multiply
    4,481.64x = 6,710.13 × 3,382.68
  4. Step 4: Simplify right side
    4,481.64x = 22,698,222.55
  5. Step 5: Solve for x
    x = 22,698,222.55/4,481.64
  6. Step 6: Final answer
    x = 5,064.71

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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.