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Finding the Fourth Proportional to 5,162.37, 7,743.90 and 1,464.88

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Solution

The fourth proportional to 5,162.37, 7,743.90 and 1,464.88 is: 2,197.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,162.37 : 7,743.90 = 1,464.88 : x
  2. Step 2: Convert to fraction form
    5,162.37/7,743.90 = 1,464.88/x
  3. Step 3: Cross multiply
    5,162.37x = 7,743.90 × 1,464.88
  4. Step 4: Simplify right side
    5,162.37x = 11,343,884.23
  5. Step 5: Solve for x
    x = 11,343,884.23/5,162.37
  6. Step 6: Final answer
    x = 2,197.42

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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.