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Finding the Fourth Proportional to 4,734.18, 6,532.65 and 2,744.46

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Solution

The fourth proportional to 4,734.18, 6,532.65 and 2,744.46 is: 3,787.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,734.18 : 6,532.65 = 2,744.46 : x
  2. Step 2: Convert to fraction form
    4,734.18/6,532.65 = 2,744.46/x
  3. Step 3: Cross multiply
    4,734.18x = 6,532.65 × 2,744.46
  4. Step 4: Simplify right side
    4,734.18x = 17,928,596.62
  5. Step 5: Solve for x
    x = 17,928,596.62/4,734.18
  6. Step 6: Final answer
    x = 3,787.05

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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.