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Finding the Fourth Proportional to 4,734.69, 7,100.82 and 1,962.15

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Solution

The fourth proportional to 4,734.69, 7,100.82 and 1,962.15 is: 2,942.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,734.69 : 7,100.82 = 1,962.15 : x
  2. Step 2: Convert to fraction form
    4,734.69/7,100.82 = 1,962.15/x
  3. Step 3: Cross multiply
    4,734.69x = 7,100.82 × 1,962.15
  4. Step 4: Simplify right side
    4,734.69x = 13,932,873.96
  5. Step 5: Solve for x
    x = 13,932,873.96/4,734.69
  6. Step 6: Final answer
    x = 2,942.72

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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.