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Finding the Fourth Proportional to 5,634.37, 7,768.27 and 3,719.88

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Solution

The fourth proportional to 5,634.37, 7,768.27 and 3,719.88 is: 5,128.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,634.37 : 7,768.27 = 3,719.88 : x
  2. Step 2: Convert to fraction form
    5,634.37/7,768.27 = 3,719.88/x
  3. Step 3: Cross multiply
    5,634.37x = 7,768.27 × 3,719.88
  4. Step 4: Simplify right side
    5,634.37x = 28,897,043.01
  5. Step 5: Solve for x
    x = 28,897,043.01/5,634.37
  6. Step 6: Final answer
    x = 5,128.71

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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.