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Finding the Fourth Proportional to 3,178.56, 4,367.91 and 2,653.68

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Solution

The fourth proportional to 3,178.56, 4,367.91 and 2,653.68 is: 3,646.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,178.56 : 4,367.91 = 2,653.68 : x
  2. Step 2: Convert to fraction form
    3,178.56/4,367.91 = 2,653.68/x
  3. Step 3: Cross multiply
    3,178.56x = 4,367.91 × 2,653.68
  4. Step 4: Simplify right side
    3,178.56x = 11,591,035.41
  5. Step 5: Solve for x
    x = 11,591,035.41/3,178.56
  6. Step 6: Final answer
    x = 3,646.63

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.