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Finding the Fourth Proportional to 3,684.46, 5,526.68 and 3,033.83

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Solution

The fourth proportional to 3,684.46, 5,526.68 and 3,033.83 is: 4,550.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,684.46 : 5,526.68 = 3,033.83 : x
  2. Step 2: Convert to fraction form
    3,684.46/5,526.68 = 3,033.83/x
  3. Step 3: Cross multiply
    3,684.46x = 5,526.68 × 3,033.83
  4. Step 4: Simplify right side
    3,684.46x = 16,767,007.58
  5. Step 5: Solve for x
    x = 16,767,007.58/3,684.46
  6. Step 6: Final answer
    x = 4,550.74

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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.