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Finding the Fourth Proportional to 3,378.64, 4,664.58 and 3,169.48

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Solution

The fourth proportional to 3,378.64, 4,664.58 and 3,169.48 is: 4,375.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,378.64 : 4,664.58 = 3,169.48 : x
  2. Step 2: Convert to fraction form
    3,378.64/4,664.58 = 3,169.48/x
  3. Step 3: Cross multiply
    3,378.64x = 4,664.58 × 3,169.48
  4. Step 4: Simplify right side
    3,378.64x = 14,784,293.02
  5. Step 5: Solve for x
    x = 14,784,293.02/3,378.64
  6. Step 6: Final answer
    x = 4,375.81

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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.