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Finding the Fourth Proportional to 5,245.44, 7,866.24 and 2,646.56

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Solution

The fourth proportional to 5,245.44, 7,866.24 and 2,646.56 is: 3,968.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,245.44 : 7,866.24 = 2,646.56 : x
  2. Step 2: Convert to fraction form
    5,245.44/7,866.24 = 2,646.56/x
  3. Step 3: Cross multiply
    5,245.44x = 7,866.24 × 2,646.56
  4. Step 4: Simplify right side
    5,245.44x = 20,818,476.13
  5. Step 5: Solve for x
    x = 20,818,476.13/5,245.44
  6. Step 6: Final answer
    x = 3,968.87

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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.