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Finding the Fourth Proportional to 4,034.21, 5,564.97 and 3,748.80

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Solution

The fourth proportional to 4,034.21, 5,564.97 and 3,748.80 is: 5,171.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,034.21 : 5,564.97 = 3,748.80 : x
  2. Step 2: Convert to fraction form
    4,034.21/5,564.97 = 3,748.80/x
  3. Step 3: Cross multiply
    4,034.21x = 5,564.97 × 3,748.80
  4. Step 4: Simplify right side
    4,034.21x = 20,861,926.42
  5. Step 5: Solve for x
    x = 20,861,926.42/4,034.21
  6. Step 6: Final answer
    x = 5,171.25

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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.