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Finding the Fourth Proportional to 4,308.54, 6,463.57 and 2,227.98

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Solution

The fourth proportional to 4,308.54, 6,463.57 and 2,227.98 is: 3,342.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,308.54 : 6,463.57 = 2,227.98 : x
  2. Step 2: Convert to fraction form
    4,308.54/6,463.57 = 2,227.98/x
  3. Step 3: Cross multiply
    4,308.54x = 6,463.57 × 2,227.98
  4. Step 4: Simplify right side
    4,308.54x = 14,400,682.96
  5. Step 5: Solve for x
    x = 14,400,682.96/4,308.54
  6. Step 6: Final answer
    x = 3,342.36

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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.