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Finding the Fourth Proportional to 5,137.59, 7,711.56 and 3,471.51

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Solution

The fourth proportional to 5,137.59, 7,711.56 and 3,471.51 is: 5,210.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,137.59 : 7,711.56 = 3,471.51 : x
  2. Step 2: Convert to fraction form
    5,137.59/7,711.56 = 3,471.51/x
  3. Step 3: Cross multiply
    5,137.59x = 7,711.56 × 3,471.51
  4. Step 4: Simplify right side
    5,137.59x = 26,770,757.66
  5. Step 5: Solve for x
    x = 26,770,757.66/5,137.59
  6. Step 6: Final answer
    x = 5,210.76

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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.