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Finding the Fourth Proportional to 5,604.05, 7,732.46 and 3,214.77

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Solution

The fourth proportional to 5,604.05, 7,732.46 and 3,214.77 is: 4,435.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,604.05 : 7,732.46 = 3,214.77 : x
  2. Step 2: Convert to fraction form
    5,604.05/7,732.46 = 3,214.77/x
  3. Step 3: Cross multiply
    5,604.05x = 7,732.46 × 3,214.77
  4. Step 4: Simplify right side
    5,604.05x = 24,858,064.36
  5. Step 5: Solve for x
    x = 24,858,064.36/5,604.05
  6. Step 6: Final answer
    x = 4,435.74

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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.