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Finding the Fourth Proportional to 3,775.68, 5,197.50 and 3,275.37

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Solution

The fourth proportional to 3,775.68, 5,197.50 and 3,275.37 is: 4,508.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,775.68 : 5,197.50 = 3,275.37 : x
  2. Step 2: Convert to fraction form
    3,775.68/5,197.50 = 3,275.37/x
  3. Step 3: Cross multiply
    3,775.68x = 5,197.50 × 3,275.37
  4. Step 4: Simplify right side
    3,775.68x = 17,023,735.58
  5. Step 5: Solve for x
    x = 17,023,735.58/3,775.68
  6. Step 6: Final answer
    x = 4,508.79

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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.