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Finding the Fourth Proportional to 5,462.68, 8,194.62 and 1,953.51

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Solution

The fourth proportional to 5,462.68, 8,194.62 and 1,953.51 is: 2,930.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,462.68 : 8,194.62 = 1,953.51 : x
  2. Step 2: Convert to fraction form
    5,462.68/8,194.62 = 1,953.51/x
  3. Step 3: Cross multiply
    5,462.68x = 8,194.62 × 1,953.51
  4. Step 4: Simplify right side
    5,462.68x = 16,008,272.12
  5. Step 5: Solve for x
    x = 16,008,272.12/5,462.68
  6. Step 6: Final answer
    x = 2,930.48

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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.