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Finding the Fourth Proportional to 5,635.68, 8,449.56 and 2,712.48

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Solution

The fourth proportional to 5,635.68, 8,449.56 and 2,712.48 is: 4,066.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,635.68 : 8,449.56 = 2,712.48 : x
  2. Step 2: Convert to fraction form
    5,635.68/8,449.56 = 2,712.48/x
  3. Step 3: Cross multiply
    5,635.68x = 8,449.56 × 2,712.48
  4. Step 4: Simplify right side
    5,635.68x = 22,919,262.51
  5. Step 5: Solve for x
    x = 22,919,262.51/5,635.68
  6. Step 6: Final answer
    x = 4,066.81

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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.