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Finding the Fourth Proportional to 3,632.96, 5,450.40 and 1,784

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Solution

The fourth proportional to 3,632.96, 5,450.40 and 1,784 is: 2,676.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,632.96 : 5,450.40 = 1,784 : x
  2. Step 2: Convert to fraction form
    3,632.96/5,450.40 = 1,784/x
  3. Step 3: Cross multiply
    3,632.96x = 5,450.40 × 1,784
  4. Step 4: Simplify right side
    3,632.96x = 9,723,513.60
  5. Step 5: Solve for x
    x = 9,723,513.60/3,632.96
  6. Step 6: Final answer
    x = 2,676.47

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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.