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Finding the Fourth Proportional to 5,437.22, 7,502.63 and 3,197.80

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Solution

The fourth proportional to 5,437.22, 7,502.63 and 3,197.80 is: 4,412.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,437.22 : 7,502.63 = 3,197.80 : x
  2. Step 2: Convert to fraction form
    5,437.22/7,502.63 = 3,197.80/x
  3. Step 3: Cross multiply
    5,437.22x = 7,502.63 × 3,197.80
  4. Step 4: Simplify right side
    5,437.22x = 23,991,910.21
  5. Step 5: Solve for x
    x = 23,991,910.21/5,437.22
  6. Step 6: Final answer
    x = 4,412.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.