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Finding the Fourth Proportional to 3,438.78, 4,754.82 and 3,383.18

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Solution

The fourth proportional to 3,438.78, 4,754.82 and 3,383.18 is: 4,677.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,438.78 : 4,754.82 = 3,383.18 : x
  2. Step 2: Convert to fraction form
    3,438.78/4,754.82 = 3,383.18/x
  3. Step 3: Cross multiply
    3,438.78x = 4,754.82 × 3,383.18
  4. Step 4: Simplify right side
    3,438.78x = 16,086,411.93
  5. Step 5: Solve for x
    x = 16,086,411.93/3,438.78
  6. Step 6: Final answer
    x = 4,677.94

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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.