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Finding the Fourth Proportional to 4,314.72, 5,940.96 and 3,254

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Solution

The fourth proportional to 4,314.72, 5,940.96 and 3,254 is: 4,480.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,314.72 : 5,940.96 = 3,254 : x
  2. Step 2: Convert to fraction form
    4,314.72/5,940.96 = 3,254/x
  3. Step 3: Cross multiply
    4,314.72x = 5,940.96 × 3,254
  4. Step 4: Simplify right side
    4,314.72x = 19,331,883.84
  5. Step 5: Solve for x
    x = 19,331,883.84/4,314.72
  6. Step 6: Final answer
    x = 4,480.45

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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.