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Finding the Fourth Proportional to 4,682.31, 7,022.70 and 1,562.19

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Solution

The fourth proportional to 4,682.31, 7,022.70 and 1,562.19 is: 2,343.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,682.31 : 7,022.70 = 1,562.19 : x
  2. Step 2: Convert to fraction form
    4,682.31/7,022.70 = 1,562.19/x
  3. Step 3: Cross multiply
    4,682.31x = 7,022.70 × 1,562.19
  4. Step 4: Simplify right side
    4,682.31x = 10,970,765.38
  5. Step 5: Solve for x
    x = 10,970,765.38/4,682.31
  6. Step 6: Final answer
    x = 2,343.03

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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.