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Finding the Fourth Proportional to 5,162.14, 7,744.02 and 2,242.45

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Solution

The fourth proportional to 5,162.14, 7,744.02 and 2,242.45 is: 3,364.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,162.14 : 7,744.02 = 2,242.45 : x
  2. Step 2: Convert to fraction form
    5,162.14/7,744.02 = 2,242.45/x
  3. Step 3: Cross multiply
    5,162.14x = 7,744.02 × 2,242.45
  4. Step 4: Simplify right side
    5,162.14x = 17,365,577.65
  5. Step 5: Solve for x
    x = 17,365,577.65/5,162.14
  6. Step 6: Final answer
    x = 3,364.03

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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.