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Finding the Fourth Proportional to 4,982.90, 6,875.98 and 2,744.42

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Solution

The fourth proportional to 4,982.90, 6,875.98 and 2,744.42 is: 3,787.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,982.90 : 6,875.98 = 2,744.42 : x
  2. Step 2: Convert to fraction form
    4,982.90/6,875.98 = 2,744.42/x
  3. Step 3: Cross multiply
    4,982.90x = 6,875.98 × 2,744.42
  4. Step 4: Simplify right side
    4,982.90x = 18,870,577.03
  5. Step 5: Solve for x
    x = 18,870,577.03/4,982.90
  6. Step 6: Final answer
    x = 3,787.07

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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.