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Finding the Fourth Proportional to 4,734.46, 6,532.79 and 2,744.63

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Solution

The fourth proportional to 4,734.46, 6,532.79 and 2,744.63 is: 3,787.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,734.46 : 6,532.79 = 2,744.63 : x
  2. Step 2: Convert to fraction form
    4,734.46/6,532.79 = 2,744.63/x
  3. Step 3: Cross multiply
    4,734.46x = 6,532.79 × 2,744.63
  4. Step 4: Simplify right side
    4,734.46x = 17,930,091.42
  5. Step 5: Solve for x
    x = 17,930,091.42/4,734.46
  6. Step 6: Final answer
    x = 3,787.15

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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.