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Finding the Fourth Proportional to 4,949.50, 6,830.31 and 2,741.50

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Solution

The fourth proportional to 4,949.50, 6,830.31 and 2,741.50 is: 3,783.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,949.50 : 6,830.31 = 2,741.50 : x
  2. Step 2: Convert to fraction form
    4,949.50/6,830.31 = 2,741.50/x
  3. Step 3: Cross multiply
    4,949.50x = 6,830.31 × 2,741.50
  4. Step 4: Simplify right side
    4,949.50x = 18,725,294.87
  5. Step 5: Solve for x
    x = 18,725,294.87/4,949.50
  6. Step 6: Final answer
    x = 3,783.27

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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.