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Finding the Fourth Proportional to 5,633.46, 7,771.59 and 3,644.66

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Solution

The fourth proportional to 5,633.46, 7,771.59 and 3,644.66 is: 5,027.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,633.46 : 7,771.59 = 3,644.66 : x
  2. Step 2: Convert to fraction form
    5,633.46/7,771.59 = 3,644.66/x
  3. Step 3: Cross multiply
    5,633.46x = 7,771.59 × 3,644.66
  4. Step 4: Simplify right side
    5,633.46x = 28,324,822.64
  5. Step 5: Solve for x
    x = 28,324,822.64/5,633.46
  6. Step 6: Final answer
    x = 5,027.96

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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.