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Finding the Fourth Proportional to 5,245.56, 7,869.15 and 1,782

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Solution

The fourth proportional to 5,245.56, 7,869.15 and 1,782 is: 2,673.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,245.56 : 7,869.15 = 1,782 : x
  2. Step 2: Convert to fraction form
    5,245.56/7,869.15 = 1,782/x
  3. Step 3: Cross multiply
    5,245.56x = 7,869.15 × 1,782
  4. Step 4: Simplify right side
    5,245.56x = 14,022,825.30
  5. Step 5: Solve for x
    x = 14,022,825.30/5,245.56
  6. Step 6: Final answer
    x = 2,673.28

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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.