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Finding the Fourth Proportional to 4,800.82, 7,189.71 and 2,744.50

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Solution

The fourth proportional to 4,800.82, 7,189.71 and 2,744.50 is: 4,110.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,800.82 : 7,189.71 = 2,744.50 : x
  2. Step 2: Convert to fraction form
    4,800.82/7,189.71 = 2,744.50/x
  3. Step 3: Cross multiply
    4,800.82x = 7,189.71 × 2,744.50
  4. Step 4: Simplify right side
    4,800.82x = 19,732,159.10
  5. Step 5: Solve for x
    x = 19,732,159.10/4,800.82
  6. Step 6: Final answer
    x = 4,110.16

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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.