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Finding the Fourth Proportional to 5,633.34, 7,771.42 and 3,644.53

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Solution

The fourth proportional to 5,633.34, 7,771.42 and 3,644.53 is: 5,027.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,633.34 : 7,771.42 = 3,644.53 : x
  2. Step 2: Convert to fraction form
    5,633.34/7,771.42 = 3,644.53/x
  3. Step 3: Cross multiply
    5,633.34x = 7,771.42 × 3,644.53
  4. Step 4: Simplify right side
    5,633.34x = 28,323,173.33
  5. Step 5: Solve for x
    x = 28,323,173.33/5,633.34
  6. Step 6: Final answer
    x = 5,027.78

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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.