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Finding the Fourth Proportional to 5,633.64, 7,777.13 and 3,748.37

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Solution

The fourth proportional to 5,633.64, 7,777.13 and 3,748.37 is: 5,174.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,633.64 : 7,777.13 = 3,748.37 : x
  2. Step 2: Convert to fraction form
    5,633.64/7,777.13 = 3,748.37/x
  3. Step 3: Cross multiply
    5,633.64x = 7,777.13 × 3,748.37
  4. Step 4: Simplify right side
    5,633.64x = 29,151,503.15
  5. Step 5: Solve for x
    x = 29,151,503.15/5,633.64
  6. Step 6: Final answer
    x = 5,174.54

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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.