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Finding the Fourth Proportional to 3,188.43, 4,777.25 and 1,953.27

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Solution

The fourth proportional to 3,188.43, 4,777.25 and 1,953.27 is: 2,926.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,188.43 : 4,777.25 = 1,953.27 : x
  2. Step 2: Convert to fraction form
    3,188.43/4,777.25 = 1,953.27/x
  3. Step 3: Cross multiply
    3,188.43x = 4,777.25 × 1,953.27
  4. Step 4: Simplify right side
    3,188.43x = 9,331,259.11
  5. Step 5: Solve for x
    x = 9,331,259.11/3,188.43
  6. Step 6: Final answer
    x = 2,926.60

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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.