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Finding the Fourth Proportional to 6,227.72, 8,594.29 and 3,709.94

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Solution

The fourth proportional to 6,227.72, 8,594.29 and 3,709.94 is: 5,119.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,227.72 : 8,594.29 = 3,709.94 : x
  2. Step 2: Convert to fraction form
    6,227.72/8,594.29 = 3,709.94/x
  3. Step 3: Cross multiply
    6,227.72x = 8,594.29 × 3,709.94
  4. Step 4: Simplify right side
    6,227.72x = 31,884,272.34
  5. Step 5: Solve for x
    x = 31,884,272.34/6,227.72
  6. Step 6: Final answer
    x = 5,119.74

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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.