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Finding the Fourth Proportional to 3,225.97, 4,847.26 and 3,135.66

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Solution

The fourth proportional to 3,225.97, 4,847.26 and 3,135.66 is: 4,711.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,225.97 : 4,847.26 = 3,135.66 : x
  2. Step 2: Convert to fraction form
    3,225.97/4,847.26 = 3,135.66/x
  3. Step 3: Cross multiply
    3,225.97x = 4,847.26 × 3,135.66
  4. Step 4: Simplify right side
    3,225.97x = 15,199,359.29
  5. Step 5: Solve for x
    x = 15,199,359.29/3,225.97
  6. Step 6: Final answer
    x = 4,711.56

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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.