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Finding the Fourth Proportional to 3,604.27, 5,406.41 and 2,783.74

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Solution

The fourth proportional to 3,604.27, 5,406.41 and 2,783.74 is: 4,175.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,604.27 : 5,406.41 = 2,783.74 : x
  2. Step 2: Convert to fraction form
    3,604.27/5,406.41 = 2,783.74/x
  3. Step 3: Cross multiply
    3,604.27x = 5,406.41 × 2,783.74
  4. Step 4: Simplify right side
    3,604.27x = 15,050,039.77
  5. Step 5: Solve for x
    x = 15,050,039.77/3,604.27
  6. Step 6: Final answer
    x = 4,175.61

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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.