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Finding the Fourth Proportional to 4,254.62, 6,381.92 and 3,394.40

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Solution

The fourth proportional to 4,254.62, 6,381.92 and 3,394.40 is: 5,091.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,254.62 : 6,381.92 = 3,394.40 : x
  2. Step 2: Convert to fraction form
    4,254.62/6,381.92 = 3,394.40/x
  3. Step 3: Cross multiply
    4,254.62x = 6,381.92 × 3,394.40
  4. Step 4: Simplify right side
    4,254.62x = 21,662,740.37
  5. Step 5: Solve for x
    x = 21,662,740.37/4,254.62
  6. Step 6: Final answer
    x = 5,091.59

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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.