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Finding the Fourth Proportional to 6,266.41, 8,646.63 and 3,749.56

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Solution

The fourth proportional to 6,266.41, 8,646.63 and 3,749.56 is: 5,173.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,266.41 : 8,646.63 = 3,749.56 : x
  2. Step 2: Convert to fraction form
    6,266.41/8,646.63 = 3,749.56/x
  3. Step 3: Cross multiply
    6,266.41x = 8,646.63 × 3,749.56
  4. Step 4: Simplify right side
    6,266.41x = 32,421,057.98
  5. Step 5: Solve for x
    x = 32,421,057.98/6,266.41
  6. Step 6: Final answer
    x = 5,173.78

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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.