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Finding the Fourth Proportional to 3,400.92, 5,100.78 and 935.43

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Solution

The fourth proportional to 3,400.92, 5,100.78 and 935.43 is: 1,402.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,400.92 : 5,100.78 = 935.43 : x
  2. Step 2: Convert to fraction form
    3,400.92/5,100.78 = 935.43/x
  3. Step 3: Cross multiply
    3,400.92x = 5,100.78 × 935.43
  4. Step 4: Simplify right side
    3,400.92x = 4,771,422.64
  5. Step 5: Solve for x
    x = 4,771,422.64/3,400.92
  6. Step 6: Final answer
    x = 1,402.98

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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.