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Finding the Fourth Proportional to 4,427.74, 6,645.71 and 2,238

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Solution

The fourth proportional to 4,427.74, 6,645.71 and 2,238 is: 3,359.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,427.74 : 6,645.71 = 2,238 : x
  2. Step 2: Convert to fraction form
    4,427.74/6,645.71 = 2,238/x
  3. Step 3: Cross multiply
    4,427.74x = 6,645.71 × 2,238
  4. Step 4: Simplify right side
    4,427.74x = 14,873,098.98
  5. Step 5: Solve for x
    x = 14,873,098.98/4,427.74
  6. Step 6: Final answer
    x = 3,359.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.