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Finding the Fourth Proportional to 5,633.63, 8,450.34 and 1,684.89

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Solution

The fourth proportional to 5,633.63, 8,450.34 and 1,684.89 is: 2,527.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,633.63 : 8,450.34 = 1,684.89 : x
  2. Step 2: Convert to fraction form
    5,633.63/8,450.34 = 1,684.89/x
  3. Step 3: Cross multiply
    5,633.63x = 8,450.34 × 1,684.89
  4. Step 4: Simplify right side
    5,633.63x = 14,237,893.36
  5. Step 5: Solve for x
    x = 14,237,893.36/5,633.63
  6. Step 6: Final answer
    x = 2,527.31

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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.