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Finding the Fourth Proportional to 3,674.79, 5,077.55 and 3,231.92

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Solution

The fourth proportional to 3,674.79, 5,077.55 and 3,231.92 is: 4,465.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,674.79 : 5,077.55 = 3,231.92 : x
  2. Step 2: Convert to fraction form
    3,674.79/5,077.55 = 3,231.92/x
  3. Step 3: Cross multiply
    3,674.79x = 5,077.55 × 3,231.92
  4. Step 4: Simplify right side
    3,674.79x = 16,410,256.17
  5. Step 5: Solve for x
    x = 16,410,256.17/3,674.79
  6. Step 6: Final answer
    x = 4,465.63

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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.